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Finding the Fourth Proportional to 17,156.61, 25,713.72 and 10,129.50

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Solution

The fourth proportional to 17,156.61, 25,713.72 and 10,129.50 is: 15,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.61 : 25,713.72 = 10,129.50 : x
  2. Step 2: Convert to fraction form
    17,156.61/25,713.72 = 10,129.50/x
  3. Step 3: Cross multiply
    17,156.61x = 25,713.72 × 10,129.50
  4. Step 4: Simplify right side
    17,156.61x = 260,467,126.74
  5. Step 5: Solve for x
    x = 260,467,126.74/17,156.61
  6. Step 6: Final answer
    x = 15,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.