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Finding the Fourth Proportional to 12,117.60, 18,169.92 and 4,322.16

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Solution

The fourth proportional to 12,117.60, 18,169.92 and 4,322.16 is: 6,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.60 : 18,169.92 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    12,117.60/18,169.92 = 4,322.16/x
  3. Step 3: Cross multiply
    12,117.60x = 18,169.92 × 4,322.16
  4. Step 4: Simplify right side
    12,117.60x = 78,533,301.43
  5. Step 5: Solve for x
    x = 78,533,301.43/12,117.60
  6. Step 6: Final answer
    x = 6,480.93

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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.