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Finding the Fourth Proportional to 12,780.96, 19,145.52 and 6,612

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Solution

The fourth proportional to 12,780.96, 19,145.52 and 6,612 is: 9,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.96 : 19,145.52 = 6,612 : x
  2. Step 2: Convert to fraction form
    12,780.96/19,145.52 = 6,612/x
  3. Step 3: Cross multiply
    12,780.96x = 19,145.52 × 6,612
  4. Step 4: Simplify right side
    12,780.96x = 126,590,178.24
  5. Step 5: Solve for x
    x = 126,590,178.24/12,780.96
  6. Step 6: Final answer
    x = 9,904.59

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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.