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Finding the Fourth Proportional to 12,407.58, 18,616.23 and 4,617

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Solution

The fourth proportional to 12,407.58, 18,616.23 and 4,617 is: 6,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.58 : 18,616.23 = 4,617 : x
  2. Step 2: Convert to fraction form
    12,407.58/18,616.23 = 4,617/x
  3. Step 3: Cross multiply
    12,407.58x = 18,616.23 × 4,617
  4. Step 4: Simplify right side
    12,407.58x = 85,951,133.91
  5. Step 5: Solve for x
    x = 85,951,133.91/12,407.58
  6. Step 6: Final answer
    x = 6,927.31

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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.