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Finding the Fourth Proportional to 13,506.87, 20,264.19 and 4,148.25

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Solution

The fourth proportional to 13,506.87, 20,264.19 and 4,148.25 is: 6,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.87 : 20,264.19 = 4,148.25 : x
  2. Step 2: Convert to fraction form
    13,506.87/20,264.19 = 4,148.25/x
  3. Step 3: Cross multiply
    13,506.87x = 20,264.19 × 4,148.25
  4. Step 4: Simplify right side
    13,506.87x = 84,060,926.17
  5. Step 5: Solve for x
    x = 84,060,926.17/13,506.87
  6. Step 6: Final answer
    x = 6,223.57

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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.