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Finding the Fourth Proportional to 24,407, 33,681.90 and 14,338.68

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Solution

The fourth proportional to 24,407, 33,681.90 and 14,338.68 is: 19,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407 : 33,681.90 = 14,338.68 : x
  2. Step 2: Convert to fraction form
    24,407/33,681.90 = 14,338.68/x
  3. Step 3: Cross multiply
    24,407x = 33,681.90 × 14,338.68
  4. Step 4: Simplify right side
    24,407x = 482,953,985.89
  5. Step 5: Solve for x
    x = 482,953,985.89/24,407
  6. Step 6: Final answer
    x = 19,787.52

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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.