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Finding the Fourth Proportional to 22,842.18, 34,259.80 and 8,047.63

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Solution

The fourth proportional to 22,842.18, 34,259.80 and 8,047.63 is: 12,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.18 : 34,259.80 = 8,047.63 : x
  2. Step 2: Convert to fraction form
    22,842.18/34,259.80 = 8,047.63/x
  3. Step 3: Cross multiply
    22,842.18x = 34,259.80 × 8,047.63
  4. Step 4: Simplify right side
    22,842.18x = 275,710,194.27
  5. Step 5: Solve for x
    x = 275,710,194.27/22,842.18
  6. Step 6: Final answer
    x = 12,070.22

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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.