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Finding the Fourth Proportional to 15,228.32, 22,842.38 and 7,834.84

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Solution

The fourth proportional to 15,228.32, 22,842.38 and 7,834.84 is: 11,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.32 : 22,842.38 = 7,834.84 : x
  2. Step 2: Convert to fraction form
    15,228.32/22,842.38 = 7,834.84/x
  3. Step 3: Cross multiply
    15,228.32x = 22,842.38 × 7,834.84
  4. Step 4: Simplify right side
    15,228.32x = 178,966,392.52
  5. Step 5: Solve for x
    x = 178,966,392.52/15,228.32
  6. Step 6: Final answer
    x = 11,752.21

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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.