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Finding the Fourth Proportional to 12,543.40, 17,313 and 7,241.40

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Solution

The fourth proportional to 12,543.40, 17,313 and 7,241.40 is: 9,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.40 : 17,313 = 7,241.40 : x
  2. Step 2: Convert to fraction form
    12,543.40/17,313 = 7,241.40/x
  3. Step 3: Cross multiply
    12,543.40x = 17,313 × 7,241.40
  4. Step 4: Simplify right side
    12,543.40x = 125,370,358.20
  5. Step 5: Solve for x
    x = 125,370,358.20/12,543.40
  6. Step 6: Final answer
    x = 9,994.93

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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.