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Finding the Fourth Proportional to 15,494, 23,325.31 and 14,116.19

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Solution

The fourth proportional to 15,494, 23,325.31 and 14,116.19 is: 21,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494 : 23,325.31 = 14,116.19 : x
  2. Step 2: Convert to fraction form
    15,494/23,325.31 = 14,116.19/x
  3. Step 3: Cross multiply
    15,494x = 23,325.31 × 14,116.19
  4. Step 4: Simplify right side
    15,494x = 329,264,437.19
  5. Step 5: Solve for x
    x = 329,264,437.19/15,494
  6. Step 6: Final answer
    x = 21,251.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.