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Finding the Fourth Proportional to 13,688.76, 20,524.95 and 6,654.93

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Solution

The fourth proportional to 13,688.76, 20,524.95 and 6,654.93 is: 9,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.76 : 20,524.95 = 6,654.93 : x
  2. Step 2: Convert to fraction form
    13,688.76/20,524.95 = 6,654.93/x
  3. Step 3: Cross multiply
    13,688.76x = 20,524.95 × 6,654.93
  4. Step 4: Simplify right side
    13,688.76x = 136,592,105.50
  5. Step 5: Solve for x
    x = 136,592,105.50/13,688.76
  6. Step 6: Final answer
    x = 9,978.41

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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.