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Finding the Fourth Proportional to 24,878.16, 34,332.72 and 13,548.16

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Solution

The fourth proportional to 24,878.16, 34,332.72 and 13,548.16 is: 18,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.16 : 34,332.72 = 13,548.16 : x
  2. Step 2: Convert to fraction form
    24,878.16/34,332.72 = 13,548.16/x
  3. Step 3: Cross multiply
    24,878.16x = 34,332.72 × 13,548.16
  4. Step 4: Simplify right side
    24,878.16x = 465,145,183.80
  5. Step 5: Solve for x
    x = 465,145,183.80/24,878.16
  6. Step 6: Final answer
    x = 18,696.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.