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Finding the Fourth Proportional to 24,959, 34,443.96 and 13,781

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Solution

The fourth proportional to 24,959, 34,443.96 and 13,781 is: 19,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959 : 34,443.96 = 13,781 : x
  2. Step 2: Convert to fraction form
    24,959/34,443.96 = 13,781/x
  3. Step 3: Cross multiply
    24,959x = 34,443.96 × 13,781
  4. Step 4: Simplify right side
    24,959x = 474,672,212.76
  5. Step 5: Solve for x
    x = 474,672,212.76/24,959
  6. Step 6: Final answer
    x = 19,018.08

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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.