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Finding the Fourth Proportional to 12,848.65, 17,719.31 and 8,370.77

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Solution

The fourth proportional to 12,848.65, 17,719.31 and 8,370.77 is: 11,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.65 : 17,719.31 = 8,370.77 : x
  2. Step 2: Convert to fraction form
    12,848.65/17,719.31 = 8,370.77/x
  3. Step 3: Cross multiply
    12,848.65x = 17,719.31 × 8,370.77
  4. Step 4: Simplify right side
    12,848.65x = 148,324,200.90
  5. Step 5: Solve for x
    x = 148,324,200.90/12,848.65
  6. Step 6: Final answer
    x = 11,543.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.