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Finding the Fourth Proportional to 16,085.70, 24,127.80 and 4,398.96

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Solution

The fourth proportional to 16,085.70, 24,127.80 and 4,398.96 is: 6,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.70 : 24,127.80 = 4,398.96 : x
  2. Step 2: Convert to fraction form
    16,085.70/24,127.80 = 4,398.96/x
  3. Step 3: Cross multiply
    16,085.70x = 24,127.80 × 4,398.96
  4. Step 4: Simplify right side
    16,085.70x = 106,137,227.09
  5. Step 5: Solve for x
    x = 106,137,227.09/16,085.70
  6. Step 6: Final answer
    x = 6,598.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.