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Finding the Fourth Proportional to 13,615.30, 20,433.12 and 10,113.40

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Solution

The fourth proportional to 13,615.30, 20,433.12 and 10,113.40 is: 15,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.30 : 20,433.12 = 10,113.40 : x
  2. Step 2: Convert to fraction form
    13,615.30/20,433.12 = 10,113.40/x
  3. Step 3: Cross multiply
    13,615.30x = 20,433.12 × 10,113.40
  4. Step 4: Simplify right side
    13,615.30x = 206,648,315.81
  5. Step 5: Solve for x
    x = 206,648,315.81/13,615.30
  6. Step 6: Final answer
    x = 15,177.65

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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.