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Finding the Fourth Proportional to 24,810, 34,237.80 and 13,632

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Solution

The fourth proportional to 24,810, 34,237.80 and 13,632 is: 18,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,810 : 34,237.80 = 13,632 : x
  2. Step 2: Convert to fraction form
    24,810/34,237.80 = 13,632/x
  3. Step 3: Cross multiply
    24,810x = 34,237.80 × 13,632
  4. Step 4: Simplify right side
    24,810x = 466,729,689.60
  5. Step 5: Solve for x
    x = 466,729,689.60/24,810
  6. Step 6: Final answer
    x = 18,812.16

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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.