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Finding the Fourth Proportional to 10,592.88, 14,685.15 and 10,031.15

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Solution

The fourth proportional to 10,592.88, 14,685.15 and 10,031.15 is: 13,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.88 : 14,685.15 = 10,031.15 : x
  2. Step 2: Convert to fraction form
    10,592.88/14,685.15 = 10,031.15/x
  3. Step 3: Cross multiply
    10,592.88x = 14,685.15 × 10,031.15
  4. Step 4: Simplify right side
    10,592.88x = 147,308,831.38
  5. Step 5: Solve for x
    x = 147,308,831.38/10,592.88
  6. Step 6: Final answer
    x = 13,906.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.