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Finding the Fourth Proportional to 17,102.71, 23,602.13 and 10,729.57

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Solution

The fourth proportional to 17,102.71, 23,602.13 and 10,729.57 is: 14,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.71 : 23,602.13 = 10,729.57 : x
  2. Step 2: Convert to fraction form
    17,102.71/23,602.13 = 10,729.57/x
  3. Step 3: Cross multiply
    17,102.71x = 23,602.13 × 10,729.57
  4. Step 4: Simplify right side
    17,102.71x = 253,240,705.98
  5. Step 5: Solve for x
    x = 253,240,705.98/17,102.71
  6. Step 6: Final answer
    x = 14,807.05

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1.5x scale

Why These Related Problems?

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