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Finding the Fourth Proportional to 12,398.47, 18,586.77 and 4,601.81

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Solution

The fourth proportional to 12,398.47, 18,586.77 and 4,601.81 is: 6,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.47 : 18,586.77 = 4,601.81 : x
  2. Step 2: Convert to fraction form
    12,398.47/18,586.77 = 4,601.81/x
  3. Step 3: Cross multiply
    12,398.47x = 18,586.77 × 4,601.81
  4. Step 4: Simplify right side
    12,398.47x = 85,532,813.26
  5. Step 5: Solve for x
    x = 85,532,813.26/12,398.47
  6. Step 6: Final answer
    x = 6,898.66

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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.