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Finding the Fourth Proportional to 12,322.14, 18,488.51 and 4,004.71

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Solution

The fourth proportional to 12,322.14, 18,488.51 and 4,004.71 is: 6,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.14 : 18,488.51 = 4,004.71 : x
  2. Step 2: Convert to fraction form
    12,322.14/18,488.51 = 4,004.71/x
  3. Step 3: Cross multiply
    12,322.14x = 18,488.51 × 4,004.71
  4. Step 4: Simplify right side
    12,322.14x = 74,041,008.42
  5. Step 5: Solve for x
    x = 74,041,008.42/12,322.14
  6. Step 6: Final answer
    x = 6,008.78

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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.