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Finding the Fourth Proportional to 24,959.24, 34,443.54 and 13,781

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Solution

The fourth proportional to 24,959.24, 34,443.54 and 13,781 is: 19,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959.24 : 34,443.54 = 13,781 : x
  2. Step 2: Convert to fraction form
    24,959.24/34,443.54 = 13,781/x
  3. Step 3: Cross multiply
    24,959.24x = 34,443.54 × 13,781
  4. Step 4: Simplify right side
    24,959.24x = 474,666,424.74
  5. Step 5: Solve for x
    x = 474,666,424.74/24,959.24
  6. Step 6: Final answer
    x = 19,017.66

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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.