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Finding the Fourth Proportional to 12,778.40, 19,174.80 and 4,986.20

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Solution

The fourth proportional to 12,778.40, 19,174.80 and 4,986.20 is: 7,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.40 : 19,174.80 = 4,986.20 : x
  2. Step 2: Convert to fraction form
    12,778.40/19,174.80 = 4,986.20/x
  3. Step 3: Cross multiply
    12,778.40x = 19,174.80 × 4,986.20
  4. Step 4: Simplify right side
    12,778.40x = 95,609,387.76
  5. Step 5: Solve for x
    x = 95,609,387.76/12,778.40
  6. Step 6: Final answer
    x = 7,482.11

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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.