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Finding the Fourth Proportional to 24,264.99, 36,375.83 and 9,470.46

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Solution

The fourth proportional to 24,264.99, 36,375.83 and 9,470.46 is: 14,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.99 : 36,375.83 = 9,470.46 : x
  2. Step 2: Convert to fraction form
    24,264.99/36,375.83 = 9,470.46/x
  3. Step 3: Cross multiply
    24,264.99x = 36,375.83 × 9,470.46
  4. Step 4: Simplify right side
    24,264.99x = 344,495,795.63
  5. Step 5: Solve for x
    x = 344,495,795.63/24,264.99
  6. Step 6: Final answer
    x = 14,197.24

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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.