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Finding the Fourth Proportional to 24,659.52, 36,978.30 and 7,125.18

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Solution

The fourth proportional to 24,659.52, 36,978.30 and 7,125.18 is: 10,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.52 : 36,978.30 = 7,125.18 : x
  2. Step 2: Convert to fraction form
    24,659.52/36,978.30 = 7,125.18/x
  3. Step 3: Cross multiply
    24,659.52x = 36,978.30 × 7,125.18
  4. Step 4: Simplify right side
    24,659.52x = 263,477,043.59
  5. Step 5: Solve for x
    x = 263,477,043.59/24,659.52
  6. Step 6: Final answer
    x = 10,684.60

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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.