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Finding the Fourth Proportional to 12,875.40, 17,769.84 and 8,160.12

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Solution

The fourth proportional to 12,875.40, 17,769.84 and 8,160.12 is: 11,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.40 : 17,769.84 = 8,160.12 : x
  2. Step 2: Convert to fraction form
    12,875.40/17,769.84 = 8,160.12/x
  3. Step 3: Cross multiply
    12,875.40x = 17,769.84 × 8,160.12
  4. Step 4: Simplify right side
    12,875.40x = 145,004,026.78
  5. Step 5: Solve for x
    x = 145,004,026.78/12,875.40
  6. Step 6: Final answer
    x = 11,262.10

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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.