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Finding the Fourth Proportional to 17,706.47, 24,439.07 and 10,152.66

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Solution

The fourth proportional to 17,706.47, 24,439.07 and 10,152.66 is: 14,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.47 : 24,439.07 = 10,152.66 : x
  2. Step 2: Convert to fraction form
    17,706.47/24,439.07 = 10,152.66/x
  3. Step 3: Cross multiply
    17,706.47x = 24,439.07 × 10,152.66
  4. Step 4: Simplify right side
    17,706.47x = 248,121,593.81
  5. Step 5: Solve for x
    x = 248,121,593.81/17,706.47
  6. Step 6: Final answer
    x = 14,013.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.