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Finding the Fourth Proportional to 18,032.16, 27,046.72 and 6,184.96

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Solution

The fourth proportional to 18,032.16, 27,046.72 and 6,184.96 is: 9,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.16 : 27,046.72 = 6,184.96 : x
  2. Step 2: Convert to fraction form
    18,032.16/27,046.72 = 6,184.96/x
  3. Step 3: Cross multiply
    18,032.16x = 27,046.72 × 6,184.96
  4. Step 4: Simplify right side
    18,032.16x = 167,282,881.33
  5. Step 5: Solve for x
    x = 167,282,881.33/18,032.16
  6. Step 6: Final answer
    x = 9,276.92

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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.