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Finding the Fourth Proportional to 22,852.92, 34,276.80 and 10,842.24

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Solution

The fourth proportional to 22,852.92, 34,276.80 and 10,842.24 is: 16,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.92 : 34,276.80 = 10,842.24 : x
  2. Step 2: Convert to fraction form
    22,852.92/34,276.80 = 10,842.24/x
  3. Step 3: Cross multiply
    22,852.92x = 34,276.80 × 10,842.24
  4. Step 4: Simplify right side
    22,852.92x = 371,637,292.03
  5. Step 5: Solve for x
    x = 371,637,292.03/22,852.92
  6. Step 6: Final answer
    x = 16,262.14

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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.