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Finding the Fourth Proportional to 12,429.77, 18,639.18 and 6,585.03

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Solution

The fourth proportional to 12,429.77, 18,639.18 and 6,585.03 is: 9,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.77 : 18,639.18 = 6,585.03 : x
  2. Step 2: Convert to fraction form
    12,429.77/18,639.18 = 6,585.03/x
  3. Step 3: Cross multiply
    12,429.77x = 18,639.18 × 6,585.03
  4. Step 4: Simplify right side
    12,429.77x = 122,739,559.48
  5. Step 5: Solve for x
    x = 122,739,559.48/12,429.77
  6. Step 6: Final answer
    x = 9,874.65

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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.