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Finding the Fourth Proportional to 12,254.40, 16,984.80 and 11,088

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Solution

The fourth proportional to 12,254.40, 16,984.80 and 11,088 is: 15,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.40 : 16,984.80 = 11,088 : x
  2. Step 2: Convert to fraction form
    12,254.40/16,984.80 = 11,088/x
  3. Step 3: Cross multiply
    12,254.40x = 16,984.80 × 11,088
  4. Step 4: Simplify right side
    12,254.40x = 188,327,462.40
  5. Step 5: Solve for x
    x = 188,327,462.40/12,254.40
  6. Step 6: Final answer
    x = 15,368.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.