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Finding the Fourth Proportional to 12,428.96, 18,642.92 and 8,470.33

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Solution

The fourth proportional to 12,428.96, 18,642.92 and 8,470.33 is: 12,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.96 : 18,642.92 = 8,470.33 : x
  2. Step 2: Convert to fraction form
    12,428.96/18,642.92 = 8,470.33/x
  3. Step 3: Cross multiply
    12,428.96x = 18,642.92 × 8,470.33
  4. Step 4: Simplify right side
    12,428.96x = 157,911,643.25
  5. Step 5: Solve for x
    x = 157,911,643.25/12,428.96
  6. Step 6: Final answer
    x = 12,705.14

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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.