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Finding the Fourth Proportional to 13,512.62, 18,646.81 and 7,543.13

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Solution

The fourth proportional to 13,512.62, 18,646.81 and 7,543.13 is: 10,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.62 : 18,646.81 = 7,543.13 : x
  2. Step 2: Convert to fraction form
    13,512.62/18,646.81 = 7,543.13/x
  3. Step 3: Cross multiply
    13,512.62x = 18,646.81 × 7,543.13
  4. Step 4: Simplify right side
    13,512.62x = 140,655,199.82
  5. Step 5: Solve for x
    x = 140,655,199.82/13,512.62
  6. Step 6: Final answer
    x = 10,409.17

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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.