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Finding the Fourth Proportional to 12,228.16, 16,873.92 and 7,192.56

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Solution

The fourth proportional to 12,228.16, 16,873.92 and 7,192.56 is: 9,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.16 : 16,873.92 = 7,192.56 : x
  2. Step 2: Convert to fraction form
    12,228.16/16,873.92 = 7,192.56/x
  3. Step 3: Cross multiply
    12,228.16x = 16,873.92 × 7,192.56
  4. Step 4: Simplify right side
    12,228.16x = 121,366,682.04
  5. Step 5: Solve for x
    x = 121,366,682.04/12,228.16
  6. Step 6: Final answer
    x = 9,925.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.