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Finding the Fourth Proportional to 12,520.96, 17,280.45 and 7,485.13

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Solution

The fourth proportional to 12,520.96, 17,280.45 and 7,485.13 is: 10,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,520.96 : 17,280.45 = 7,485.13 : x
  2. Step 2: Convert to fraction form
    12,520.96/17,280.45 = 7,485.13/x
  3. Step 3: Cross multiply
    12,520.96x = 17,280.45 × 7,485.13
  4. Step 4: Simplify right side
    12,520.96x = 129,346,414.71
  5. Step 5: Solve for x
    x = 129,346,414.71/12,520.96
  6. Step 6: Final answer
    x = 10,330.39

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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.