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Finding the Fourth Proportional to 20,505.60, 30,732.24 and 10,625.76

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Solution

The fourth proportional to 20,505.60, 30,732.24 and 10,625.76 is: 15,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.60 : 30,732.24 = 10,625.76 : x
  2. Step 2: Convert to fraction form
    20,505.60/30,732.24 = 10,625.76/x
  3. Step 3: Cross multiply
    20,505.60x = 30,732.24 × 10,625.76
  4. Step 4: Simplify right side
    20,505.60x = 326,553,406.50
  5. Step 5: Solve for x
    x = 326,553,406.50/20,505.60
  6. Step 6: Final answer
    x = 15,925.08

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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.