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Finding the Fourth Proportional to 13,543.50, 18,688.25 and 7,576.23

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Solution

The fourth proportional to 13,543.50, 18,688.25 and 7,576.23 is: 10,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.50 : 18,688.25 = 7,576.23 : x
  2. Step 2: Convert to fraction form
    13,543.50/18,688.25 = 7,576.23/x
  3. Step 3: Cross multiply
    13,543.50x = 18,688.25 × 7,576.23
  4. Step 4: Simplify right side
    13,543.50x = 141,586,569.32
  5. Step 5: Solve for x
    x = 141,586,569.32/13,543.50
  6. Step 6: Final answer
    x = 10,454.21

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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.