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Finding the Fourth Proportional to 24,470.70, 36,750.60 and 14,629.20

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Solution

The fourth proportional to 24,470.70, 36,750.60 and 14,629.20 is: 21,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.70 : 36,750.60 = 14,629.20 : x
  2. Step 2: Convert to fraction form
    24,470.70/36,750.60 = 14,629.20/x
  3. Step 3: Cross multiply
    24,470.70x = 36,750.60 × 14,629.20
  4. Step 4: Simplify right side
    24,470.70x = 537,631,877.52
  5. Step 5: Solve for x
    x = 537,631,877.52/24,470.70
  6. Step 6: Final answer
    x = 21,970.43

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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.