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Finding the Fourth Proportional to 24,417.70, 33,684.24 and 16,446.08

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Solution

The fourth proportional to 24,417.70, 33,684.24 and 16,446.08 is: 22,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.70 : 33,684.24 = 16,446.08 : x
  2. Step 2: Convert to fraction form
    24,417.70/33,684.24 = 16,446.08/x
  3. Step 3: Cross multiply
    24,417.70x = 33,684.24 × 16,446.08
  4. Step 4: Simplify right side
    24,417.70x = 553,973,705.78
  5. Step 5: Solve for x
    x = 553,973,705.78/24,417.70
  6. Step 6: Final answer
    x = 22,687.38

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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.