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Finding the Fourth Proportional to 16,314.46, 24,473.31 and 5,218.36

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Solution

The fourth proportional to 16,314.46, 24,473.31 and 5,218.36 is: 7,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.46 : 24,473.31 = 5,218.36 : x
  2. Step 2: Convert to fraction form
    16,314.46/24,473.31 = 5,218.36/x
  3. Step 3: Cross multiply
    16,314.46x = 24,473.31 × 5,218.36
  4. Step 4: Simplify right side
    16,314.46x = 127,710,541.97
  5. Step 5: Solve for x
    x = 127,710,541.97/16,314.46
  6. Step 6: Final answer
    x = 7,828.06

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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.