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Finding the Fourth Proportional to 12,686.16, 19,027.52 and 5,759.04

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Solution

The fourth proportional to 12,686.16, 19,027.52 and 5,759.04 is: 8,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.16 : 19,027.52 = 5,759.04 : x
  2. Step 2: Convert to fraction form
    12,686.16/19,027.52 = 5,759.04/x
  3. Step 3: Cross multiply
    12,686.16x = 19,027.52 × 5,759.04
  4. Step 4: Simplify right side
    12,686.16x = 109,580,248.78
  5. Step 5: Solve for x
    x = 109,580,248.78/12,686.16
  6. Step 6: Final answer
    x = 8,637.78

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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.