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Finding the Fourth Proportional to 24,968, 34,456.65 and 13,638.16

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Solution

The fourth proportional to 24,968, 34,456.65 and 13,638.16 is: 18,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,968 : 34,456.65 = 13,638.16 : x
  2. Step 2: Convert to fraction form
    24,968/34,456.65 = 13,638.16/x
  3. Step 3: Cross multiply
    24,968x = 34,456.65 × 13,638.16
  4. Step 4: Simplify right side
    24,968x = 469,925,305.76
  5. Step 5: Solve for x
    x = 469,925,305.76/24,968
  6. Step 6: Final answer
    x = 18,821.10

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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.