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Finding the Fourth Proportional to 23,322.36, 32,184.90 and 12,712

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Solution

The fourth proportional to 23,322.36, 32,184.90 and 12,712 is: 17,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.36 : 32,184.90 = 12,712 : x
  2. Step 2: Convert to fraction form
    23,322.36/32,184.90 = 12,712/x
  3. Step 3: Cross multiply
    23,322.36x = 32,184.90 × 12,712
  4. Step 4: Simplify right side
    23,322.36x = 409,134,448.80
  5. Step 5: Solve for x
    x = 409,134,448.80/23,322.36
  6. Step 6: Final answer
    x = 17,542.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.