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Finding the Fourth Proportional to 25,571.38, 38,332.27 and 13,097.29

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Solution

The fourth proportional to 25,571.38, 38,332.27 and 13,097.29 is: 19,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.38 : 38,332.27 = 13,097.29 : x
  2. Step 2: Convert to fraction form
    25,571.38/38,332.27 = 13,097.29/x
  3. Step 3: Cross multiply
    25,571.38x = 38,332.27 × 13,097.29
  4. Step 4: Simplify right side
    25,571.38x = 502,048,856.55
  5. Step 5: Solve for x
    x = 502,048,856.55/25,571.38
  6. Step 6: Final answer
    x = 19,633.23

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