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Finding the Fourth Proportional to 24,285.75, 36,407.01 and 9,491.30

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Solution

The fourth proportional to 24,285.75, 36,407.01 and 9,491.30 is: 14,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.75 : 36,407.01 = 9,491.30 : x
  2. Step 2: Convert to fraction form
    24,285.75/36,407.01 = 9,491.30/x
  3. Step 3: Cross multiply
    24,285.75x = 36,407.01 × 9,491.30
  4. Step 4: Simplify right side
    24,285.75x = 345,549,854.01
  5. Step 5: Solve for x
    x = 345,549,854.01/24,285.75
  6. Step 6: Final answer
    x = 14,228.50

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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.