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Finding the Fourth Proportional to 15,702, 23,498.69 and 9,695.61

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Solution

The fourth proportional to 15,702, 23,498.69 and 9,695.61 is: 14,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702 : 23,498.69 = 9,695.61 : x
  2. Step 2: Convert to fraction form
    15,702/23,498.69 = 9,695.61/x
  3. Step 3: Cross multiply
    15,702x = 23,498.69 × 9,695.61
  4. Step 4: Simplify right side
    15,702x = 227,834,133.75
  5. Step 5: Solve for x
    x = 227,834,133.75/15,702
  6. Step 6: Final answer
    x = 14,509.88

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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.