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Finding the Fourth Proportional to 13,541.30, 18,686.39 and 7,875.82

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Solution

The fourth proportional to 13,541.30, 18,686.39 and 7,875.82 is: 10,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.30 : 18,686.39 = 7,875.82 : x
  2. Step 2: Convert to fraction form
    13,541.30/18,686.39 = 7,875.82/x
  3. Step 3: Cross multiply
    13,541.30x = 18,686.39 × 7,875.82
  4. Step 4: Simplify right side
    13,541.30x = 147,170,644.09
  5. Step 5: Solve for x
    x = 147,170,644.09/13,541.30
  6. Step 6: Final answer
    x = 10,868.28

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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.