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Finding the Fourth Proportional to 24,439.71, 33,708.34 and 16,898.66

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Solution

The fourth proportional to 24,439.71, 33,708.34 and 16,898.66 is: 23,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439.71 : 33,708.34 = 16,898.66 : x
  2. Step 2: Convert to fraction form
    24,439.71/33,708.34 = 16,898.66/x
  3. Step 3: Cross multiply
    24,439.71x = 33,708.34 × 16,898.66
  4. Step 4: Simplify right side
    24,439.71x = 569,625,776.82
  5. Step 5: Solve for x
    x = 569,625,776.82/24,439.71
  6. Step 6: Final answer
    x = 23,307.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.