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Finding the Fourth Proportional to 24,706.08, 37,059.36 and 9,714.72

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Solution

The fourth proportional to 24,706.08, 37,059.36 and 9,714.72 is: 14,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.08 : 37,059.36 = 9,714.72 : x
  2. Step 2: Convert to fraction form
    24,706.08/37,059.36 = 9,714.72/x
  3. Step 3: Cross multiply
    24,706.08x = 37,059.36 × 9,714.72
  4. Step 4: Simplify right side
    24,706.08x = 360,021,305.78
  5. Step 5: Solve for x
    x = 360,021,305.78/24,706.08
  6. Step 6: Final answer
    x = 14,572.17

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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.