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Finding the Fourth Proportional to 24,008.75, 36,008.76 and 6,474.47

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Solution

The fourth proportional to 24,008.75, 36,008.76 and 6,474.47 is: 9,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.75 : 36,008.76 = 6,474.47 : x
  2. Step 2: Convert to fraction form
    24,008.75/36,008.76 = 6,474.47/x
  3. Step 3: Cross multiply
    24,008.75x = 36,008.76 × 6,474.47
  4. Step 4: Simplify right side
    24,008.75x = 233,137,636.36
  5. Step 5: Solve for x
    x = 233,137,636.36/24,008.75
  6. Step 6: Final answer
    x = 9,710.53

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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.