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Finding the Fourth Proportional to 24,502.97, 36,750.05 and 6,491.32

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Solution

The fourth proportional to 24,502.97, 36,750.05 and 6,491.32 is: 9,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.97 : 36,750.05 = 6,491.32 : x
  2. Step 2: Convert to fraction form
    24,502.97/36,750.05 = 6,491.32/x
  3. Step 3: Cross multiply
    24,502.97x = 36,750.05 × 6,491.32
  4. Step 4: Simplify right side
    24,502.97x = 238,556,477.81
  5. Step 5: Solve for x
    x = 238,556,477.81/24,502.97
  6. Step 6: Final answer
    x = 9,735.82

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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.