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Finding the Fourth Proportional to 13,402.59, 18,493.98 and 7,432.80

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Solution

The fourth proportional to 13,402.59, 18,493.98 and 7,432.80 is: 10,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.59 : 18,493.98 = 7,432.80 : x
  2. Step 2: Convert to fraction form
    13,402.59/18,493.98 = 7,432.80/x
  3. Step 3: Cross multiply
    13,402.59x = 18,493.98 × 7,432.80
  4. Step 4: Simplify right side
    13,402.59x = 137,462,054.54
  5. Step 5: Solve for x
    x = 137,462,054.54/13,402.59
  6. Step 6: Final answer
    x = 10,256.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.