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Finding the Fourth Proportional to 17,706.08, 24,434.49 and 10,152.87

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Solution

The fourth proportional to 17,706.08, 24,434.49 and 10,152.87 is: 14,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.08 : 24,434.49 = 10,152.87 : x
  2. Step 2: Convert to fraction form
    17,706.08/24,434.49 = 10,152.87/x
  3. Step 3: Cross multiply
    17,706.08x = 24,434.49 × 10,152.87
  4. Step 4: Simplify right side
    17,706.08x = 248,080,200.49
  5. Step 5: Solve for x
    x = 248,080,200.49/17,706.08
  6. Step 6: Final answer
    x = 14,011.02

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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.