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Finding the Fourth Proportional to 13,531.74, 18,674.67 and 7,563.66

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Solution

The fourth proportional to 13,531.74, 18,674.67 and 7,563.66 is: 10,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.74 : 18,674.67 = 7,563.66 : x
  2. Step 2: Convert to fraction form
    13,531.74/18,674.67 = 7,563.66/x
  3. Step 3: Cross multiply
    13,531.74x = 18,674.67 × 7,563.66
  4. Step 4: Simplify right side
    13,531.74x = 141,248,854.49
  5. Step 5: Solve for x
    x = 141,248,854.49/13,531.74
  6. Step 6: Final answer
    x = 10,438.34

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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.