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Finding the Fourth Proportional to 12,842.40, 19,263.54 and 4,077.98

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Solution

The fourth proportional to 12,842.40, 19,263.54 and 4,077.98 is: 6,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.40 : 19,263.54 = 4,077.98 : x
  2. Step 2: Convert to fraction form
    12,842.40/19,263.54 = 4,077.98/x
  3. Step 3: Cross multiply
    12,842.40x = 19,263.54 × 4,077.98
  4. Step 4: Simplify right side
    12,842.40x = 78,556,330.85
  5. Step 5: Solve for x
    x = 78,556,330.85/12,842.40
  6. Step 6: Final answer
    x = 6,116.95

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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.