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Finding the Fourth Proportional to 24,488.34, 36,710.96 and 9,707.64

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Solution

The fourth proportional to 24,488.34, 36,710.96 and 9,707.64 is: 14,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.34 : 36,710.96 = 9,707.64 : x
  2. Step 2: Convert to fraction form
    24,488.34/36,710.96 = 9,707.64/x
  3. Step 3: Cross multiply
    24,488.34x = 36,710.96 × 9,707.64
  4. Step 4: Simplify right side
    24,488.34x = 356,376,783.73
  5. Step 5: Solve for x
    x = 356,376,783.73/24,488.34
  6. Step 6: Final answer
    x = 14,552.92

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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.