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Finding the Fourth Proportional to 12,098.96, 16,688.04 and 11,107.52

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Solution

The fourth proportional to 12,098.96, 16,688.04 and 11,107.52 is: 15,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.96 : 16,688.04 = 11,107.52 : x
  2. Step 2: Convert to fraction form
    12,098.96/16,688.04 = 11,107.52/x
  3. Step 3: Cross multiply
    12,098.96x = 16,688.04 × 11,107.52
  4. Step 4: Simplify right side
    12,098.96x = 185,362,738.06
  5. Step 5: Solve for x
    x = 185,362,738.06/12,098.96
  6. Step 6: Final answer
    x = 15,320.55

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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.