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Finding the Fourth Proportional to 24,829.50, 34,264.71 and 16,446

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Solution

The fourth proportional to 24,829.50, 34,264.71 and 16,446 is: 22,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.50 : 34,264.71 = 16,446 : x
  2. Step 2: Convert to fraction form
    24,829.50/34,264.71 = 16,446/x
  3. Step 3: Cross multiply
    24,829.50x = 34,264.71 × 16,446
  4. Step 4: Simplify right side
    24,829.50x = 563,517,420.66
  5. Step 5: Solve for x
    x = 563,517,420.66/24,829.50
  6. Step 6: Final answer
    x = 22,695.48

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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.