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Finding the Fourth Proportional to 24,372.52, 36,564.02 and 7,733.89

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Solution

The fourth proportional to 24,372.52, 36,564.02 and 7,733.89 is: 11,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.52 : 36,564.02 = 7,733.89 : x
  2. Step 2: Convert to fraction form
    24,372.52/36,564.02 = 7,733.89/x
  3. Step 3: Cross multiply
    24,372.52x = 36,564.02 × 7,733.89
  4. Step 4: Simplify right side
    24,372.52x = 282,782,206.97
  5. Step 5: Solve for x
    x = 282,782,206.97/24,372.52
  6. Step 6: Final answer
    x = 11,602.50

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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.