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Finding the Fourth Proportional to 13,531.80, 18,673.98 and 7,563.72

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Solution

The fourth proportional to 13,531.80, 18,673.98 and 7,563.72 is: 10,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.80 : 18,673.98 = 7,563.72 : x
  2. Step 2: Convert to fraction form
    13,531.80/18,673.98 = 7,563.72/x
  3. Step 3: Cross multiply
    13,531.80x = 18,673.98 × 7,563.72
  4. Step 4: Simplify right side
    13,531.80x = 141,244,756.01
  5. Step 5: Solve for x
    x = 141,244,756.01/13,531.80
  6. Step 6: Final answer
    x = 10,437.99

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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.