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Finding the Fourth Proportional to 24,538.14, 36,809.55 and 8,952.06

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Solution

The fourth proportional to 24,538.14, 36,809.55 and 8,952.06 is: 13,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.14 : 36,809.55 = 8,952.06 : x
  2. Step 2: Convert to fraction form
    24,538.14/36,809.55 = 8,952.06/x
  3. Step 3: Cross multiply
    24,538.14x = 36,809.55 × 8,952.06
  4. Step 4: Simplify right side
    24,538.14x = 329,521,300.17
  5. Step 5: Solve for x
    x = 329,521,300.17/24,538.14
  6. Step 6: Final answer
    x = 13,428.94

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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.