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Finding the Fourth Proportional to 19,453.92, 29,208.29 and 9,973.14

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Solution

The fourth proportional to 19,453.92, 29,208.29 and 9,973.14 is: 14,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.92 : 29,208.29 = 9,973.14 : x
  2. Step 2: Convert to fraction form
    19,453.92/29,208.29 = 9,973.14/x
  3. Step 3: Cross multiply
    19,453.92x = 29,208.29 × 9,973.14
  4. Step 4: Simplify right side
    19,453.92x = 291,298,315.46
  5. Step 5: Solve for x
    x = 291,298,315.46/19,453.92
  6. Step 6: Final answer
    x = 14,973.76

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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.