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Finding the Fourth Proportional to 12,924.77, 19,354.24 and 10,322.24

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Solution

The fourth proportional to 12,924.77, 19,354.24 and 10,322.24 is: 15,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.77 : 19,354.24 = 10,322.24 : x
  2. Step 2: Convert to fraction form
    12,924.77/19,354.24 = 10,322.24/x
  3. Step 3: Cross multiply
    12,924.77x = 19,354.24 × 10,322.24
  4. Step 4: Simplify right side
    12,924.77x = 199,779,026.43
  5. Step 5: Solve for x
    x = 199,779,026.43/12,924.77
  6. Step 6: Final answer
    x = 15,457.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.