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Finding the Fourth Proportional to 12,417.62, 18,626.16 and 5,840.16

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Solution

The fourth proportional to 12,417.62, 18,626.16 and 5,840.16 is: 8,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.62 : 18,626.16 = 5,840.16 : x
  2. Step 2: Convert to fraction form
    12,417.62/18,626.16 = 5,840.16/x
  3. Step 3: Cross multiply
    12,417.62x = 18,626.16 × 5,840.16
  4. Step 4: Simplify right side
    12,417.62x = 108,779,754.59
  5. Step 5: Solve for x
    x = 108,779,754.59/12,417.62
  6. Step 6: Final answer
    x = 8,760.11

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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.