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Finding the Fourth Proportional to 13,564.90, 20,315.76 and 13,191.20

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Solution

The fourth proportional to 13,564.90, 20,315.76 and 13,191.20 is: 19,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.90 : 20,315.76 = 13,191.20 : x
  2. Step 2: Convert to fraction form
    13,564.90/20,315.76 = 13,191.20/x
  3. Step 3: Cross multiply
    13,564.90x = 20,315.76 × 13,191.20
  4. Step 4: Simplify right side
    13,564.90x = 267,989,253.31
  5. Step 5: Solve for x
    x = 267,989,253.31/13,564.90
  6. Step 6: Final answer
    x = 19,756.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.