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Finding the Fourth Proportional to 13,875.80, 19,149.08 and 7,588.17

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Solution

The fourth proportional to 13,875.80, 19,149.08 and 7,588.17 is: 10,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.80 : 19,149.08 = 7,588.17 : x
  2. Step 2: Convert to fraction form
    13,875.80/19,149.08 = 7,588.17/x
  3. Step 3: Cross multiply
    13,875.80x = 19,149.08 × 7,588.17
  4. Step 4: Simplify right side
    13,875.80x = 145,306,436.44
  5. Step 5: Solve for x
    x = 145,306,436.44/13,875.80
  6. Step 6: Final answer
    x = 10,471.94

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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.