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Finding the Fourth Proportional to 13,592.71, 20,390.08 and 5,269.15

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Solution

The fourth proportional to 13,592.71, 20,390.08 and 5,269.15 is: 7,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.71 : 20,390.08 = 5,269.15 : x
  2. Step 2: Convert to fraction form
    13,592.71/20,390.08 = 5,269.15/x
  3. Step 3: Cross multiply
    13,592.71x = 20,390.08 × 5,269.15
  4. Step 4: Simplify right side
    13,592.71x = 107,438,412.23
  5. Step 5: Solve for x
    x = 107,438,412.23/13,592.71
  6. Step 6: Final answer
    x = 7,904.12

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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.