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Finding the Fourth Proportional to 12,928.26, 19,394.22 and 4,165.14

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Solution

The fourth proportional to 12,928.26, 19,394.22 and 4,165.14 is: 6,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.26 : 19,394.22 = 4,165.14 : x
  2. Step 2: Convert to fraction form
    12,928.26/19,394.22 = 4,165.14/x
  3. Step 3: Cross multiply
    12,928.26x = 19,394.22 × 4,165.14
  4. Step 4: Simplify right side
    12,928.26x = 80,779,641.49
  5. Step 5: Solve for x
    x = 80,779,641.49/12,928.26
  6. Step 6: Final answer
    x = 6,248.30

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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.