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Finding the Fourth Proportional to 12,842.16, 19,264.78 and 5,445.66

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Solution

The fourth proportional to 12,842.16, 19,264.78 and 5,445.66 is: 8,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.16 : 19,264.78 = 5,445.66 : x
  2. Step 2: Convert to fraction form
    12,842.16/19,264.78 = 5,445.66/x
  3. Step 3: Cross multiply
    12,842.16x = 19,264.78 × 5,445.66
  4. Step 4: Simplify right side
    12,842.16x = 104,909,366.46
  5. Step 5: Solve for x
    x = 104,909,366.46/12,842.16
  6. Step 6: Final answer
    x = 8,169.14

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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.