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Finding the Fourth Proportional to 24,077.52, 36,128.70 and 11,765.52

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Solution

The fourth proportional to 24,077.52, 36,128.70 and 11,765.52 is: 17,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.52 : 36,128.70 = 11,765.52 : x
  2. Step 2: Convert to fraction form
    24,077.52/36,128.70 = 11,765.52/x
  3. Step 3: Cross multiply
    24,077.52x = 36,128.70 × 11,765.52
  4. Step 4: Simplify right side
    24,077.52x = 425,072,942.42
  5. Step 5: Solve for x
    x = 425,072,942.42/24,077.52
  6. Step 6: Final answer
    x = 17,654.35

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1.5x scale

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.