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Finding the Fourth Proportional to 23,952.71, 35,927.85 and 9,160.49

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Solution

The fourth proportional to 23,952.71, 35,927.85 and 9,160.49 is: 13,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.71 : 35,927.85 = 9,160.49 : x
  2. Step 2: Convert to fraction form
    23,952.71/35,927.85 = 9,160.49/x
  3. Step 3: Cross multiply
    23,952.71x = 35,927.85 × 9,160.49
  4. Step 4: Simplify right side
    23,952.71x = 329,116,834.82
  5. Step 5: Solve for x
    x = 329,116,834.82/23,952.71
  6. Step 6: Final answer
    x = 13,740.27

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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.