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Finding the Fourth Proportional to 24,671.76, 34,047.82 and 13,493.76

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Solution

The fourth proportional to 24,671.76, 34,047.82 and 13,493.76 is: 18,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.76 : 34,047.82 = 13,493.76 : x
  2. Step 2: Convert to fraction form
    24,671.76/34,047.82 = 13,493.76/x
  3. Step 3: Cross multiply
    24,671.76x = 34,047.82 × 13,493.76
  4. Step 4: Simplify right side
    24,671.76x = 459,433,111.60
  5. Step 5: Solve for x
    x = 459,433,111.60/24,671.76
  6. Step 6: Final answer
    x = 18,621.82

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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.