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Finding the Fourth Proportional to 12,842.80, 19,264.20 and 11,892.40

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Solution

The fourth proportional to 12,842.80, 19,264.20 and 11,892.40 is: 17,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.80 : 19,264.20 = 11,892.40 : x
  2. Step 2: Convert to fraction form
    12,842.80/19,264.20 = 11,892.40/x
  3. Step 3: Cross multiply
    12,842.80x = 19,264.20 × 11,892.40
  4. Step 4: Simplify right side
    12,842.80x = 229,097,572.08
  5. Step 5: Solve for x
    x = 229,097,572.08/12,842.80
  6. Step 6: Final answer
    x = 17,838.60

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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.