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Finding the Fourth Proportional to 24,876.72, 34,319.40 and 16,478.64

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Solution

The fourth proportional to 24,876.72, 34,319.40 and 16,478.64 is: 22,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.72 : 34,319.40 = 16,478.64 : x
  2. Step 2: Convert to fraction form
    24,876.72/34,319.40 = 16,478.64/x
  3. Step 3: Cross multiply
    24,876.72x = 34,319.40 × 16,478.64
  4. Step 4: Simplify right side
    24,876.72x = 565,537,037.62
  5. Step 5: Solve for x
    x = 565,537,037.62/24,876.72
  6. Step 6: Final answer
    x = 22,733.59

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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.