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Finding the Fourth Proportional to 12,431.04, 18,641.04 and 6,586.24

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Solution

The fourth proportional to 12,431.04, 18,641.04 and 6,586.24 is: 9,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.04 : 18,641.04 = 6,586.24 : x
  2. Step 2: Convert to fraction form
    12,431.04/18,641.04 = 6,586.24/x
  3. Step 3: Cross multiply
    12,431.04x = 18,641.04 × 6,586.24
  4. Step 4: Simplify right side
    12,431.04x = 122,774,363.29
  5. Step 5: Solve for x
    x = 122,774,363.29/12,431.04
  6. Step 6: Final answer
    x = 9,876.44

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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.