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Finding the Fourth Proportional to 24,210, 33,411.62 and 14,780.39

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Solution

The fourth proportional to 24,210, 33,411.62 and 14,780.39 is: 20,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210 : 33,411.62 = 14,780.39 : x
  2. Step 2: Convert to fraction form
    24,210/33,411.62 = 14,780.39/x
  3. Step 3: Cross multiply
    24,210x = 33,411.62 × 14,780.39
  4. Step 4: Simplify right side
    24,210x = 493,836,644.02
  5. Step 5: Solve for x
    x = 493,836,644.02/24,210
  6. Step 6: Final answer
    x = 20,398.04

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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.