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Finding the Fourth Proportional to 12,365.84, 18,543.84 and 7,175.36

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Solution

The fourth proportional to 12,365.84, 18,543.84 and 7,175.36 is: 10,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.84 : 18,543.84 = 7,175.36 : x
  2. Step 2: Convert to fraction form
    12,365.84/18,543.84 = 7,175.36/x
  3. Step 3: Cross multiply
    12,365.84x = 18,543.84 × 7,175.36
  4. Step 4: Simplify right side
    12,365.84x = 133,058,727.78
  5. Step 5: Solve for x
    x = 133,058,727.78/12,365.84
  6. Step 6: Final answer
    x = 10,760.19

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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.