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Finding the Fourth Proportional to 12,098.63, 18,145.71 and 3,332.40

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Solution

The fourth proportional to 12,098.63, 18,145.71 and 3,332.40 is: 4,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.63 : 18,145.71 = 3,332.40 : x
  2. Step 2: Convert to fraction form
    12,098.63/18,145.71 = 3,332.40/x
  3. Step 3: Cross multiply
    12,098.63x = 18,145.71 × 3,332.40
  4. Step 4: Simplify right side
    12,098.63x = 60,468,764.00
  5. Step 5: Solve for x
    x = 60,468,764.00/12,098.63
  6. Step 6: Final answer
    x = 4,997.99

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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.