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Finding the Fourth Proportional to 24,818, 34,248.84 and 13,640

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Solution

The fourth proportional to 24,818, 34,248.84 and 13,640 is: 18,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818 : 34,248.84 = 13,640 : x
  2. Step 2: Convert to fraction form
    24,818/34,248.84 = 13,640/x
  3. Step 3: Cross multiply
    24,818x = 34,248.84 × 13,640
  4. Step 4: Simplify right side
    24,818x = 467,154,177.60
  5. Step 5: Solve for x
    x = 467,154,177.60/24,818
  6. Step 6: Final answer
    x = 18,823.20

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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.