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Finding the Fourth Proportional to 12,254.01, 18,377.37 and 4,461

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Solution

The fourth proportional to 12,254.01, 18,377.37 and 4,461 is: 6,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.01 : 18,377.37 = 4,461 : x
  2. Step 2: Convert to fraction form
    12,254.01/18,377.37 = 4,461/x
  3. Step 3: Cross multiply
    12,254.01x = 18,377.37 × 4,461
  4. Step 4: Simplify right side
    12,254.01x = 81,981,447.57
  5. Step 5: Solve for x
    x = 81,981,447.57/12,254.01
  6. Step 6: Final answer
    x = 6,690.17

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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.