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Finding the Fourth Proportional to 24,244.71, 36,362.94 and 6,710.43

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Solution

The fourth proportional to 24,244.71, 36,362.94 and 6,710.43 is: 10,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244.71 : 36,362.94 = 6,710.43 : x
  2. Step 2: Convert to fraction form
    24,244.71/36,362.94 = 6,710.43/x
  3. Step 3: Cross multiply
    24,244.71x = 36,362.94 × 6,710.43
  4. Step 4: Simplify right side
    24,244.71x = 244,010,963.46
  5. Step 5: Solve for x
    x = 244,010,963.46/24,244.71
  6. Step 6: Final answer
    x = 10,064.50

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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.