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Finding the Fourth Proportional to 12,098.50, 16,657.74 and 10,991.20

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Solution

The fourth proportional to 12,098.50, 16,657.74 and 10,991.20 is: 15,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.50 : 16,657.74 = 10,991.20 : x
  2. Step 2: Convert to fraction form
    12,098.50/16,657.74 = 10,991.20/x
  3. Step 3: Cross multiply
    12,098.50x = 16,657.74 × 10,991.20
  4. Step 4: Simplify right side
    12,098.50x = 183,088,551.89
  5. Step 5: Solve for x
    x = 183,088,551.89/12,098.50
  6. Step 6: Final answer
    x = 15,133.16

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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.