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Finding the Fourth Proportional to 13,242.56, 18,277.80 and 9,000.56

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Solution

The fourth proportional to 13,242.56, 18,277.80 and 9,000.56 is: 12,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.56 : 18,277.80 = 9,000.56 : x
  2. Step 2: Convert to fraction form
    13,242.56/18,277.80 = 9,000.56/x
  3. Step 3: Cross multiply
    13,242.56x = 18,277.80 × 9,000.56
  4. Step 4: Simplify right side
    13,242.56x = 164,510,435.57
  5. Step 5: Solve for x
    x = 164,510,435.57/13,242.56
  6. Step 6: Final answer
    x = 12,422.86

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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.