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Finding the Fourth Proportional to 12,842.74, 19,266.72 and 4,078.18

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Solution

The fourth proportional to 12,842.74, 19,266.72 and 4,078.18 is: 6,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.74 : 19,266.72 = 4,078.18 : x
  2. Step 2: Convert to fraction form
    12,842.74/19,266.72 = 4,078.18/x
  3. Step 3: Cross multiply
    12,842.74x = 19,266.72 × 4,078.18
  4. Step 4: Simplify right side
    12,842.74x = 78,573,152.17
  5. Step 5: Solve for x
    x = 78,573,152.17/12,842.74
  6. Step 6: Final answer
    x = 6,118.10

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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.