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Finding the Fourth Proportional to 12,776.80, 19,164.56 and 4,454.24

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Solution

The fourth proportional to 12,776.80, 19,164.56 and 4,454.24 is: 6,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.80 : 19,164.56 = 4,454.24 : x
  2. Step 2: Convert to fraction form
    12,776.80/19,164.56 = 4,454.24/x
  3. Step 3: Cross multiply
    12,776.80x = 19,164.56 × 4,454.24
  4. Step 4: Simplify right side
    12,776.80x = 85,363,549.73
  5. Step 5: Solve for x
    x = 85,363,549.73/12,776.80
  6. Step 6: Final answer
    x = 6,681.14

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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.