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Finding the Fourth Proportional to 24,057.78, 36,085.86 and 8,475

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Solution

The fourth proportional to 24,057.78, 36,085.86 and 8,475 is: 12,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.78 : 36,085.86 = 8,475 : x
  2. Step 2: Convert to fraction form
    24,057.78/36,085.86 = 8,475/x
  3. Step 3: Cross multiply
    24,057.78x = 36,085.86 × 8,475
  4. Step 4: Simplify right side
    24,057.78x = 305,827,663.50
  5. Step 5: Solve for x
    x = 305,827,663.50/24,057.78
  6. Step 6: Final answer
    x = 12,712.21

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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.