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Finding the Fourth Proportional to 22,252.16, 30,711.48 and 12,823.76

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Solution

The fourth proportional to 22,252.16, 30,711.48 and 12,823.76 is: 17,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.16 : 30,711.48 = 12,823.76 : x
  2. Step 2: Convert to fraction form
    22,252.16/30,711.48 = 12,823.76/x
  3. Step 3: Cross multiply
    22,252.16x = 30,711.48 × 12,823.76
  4. Step 4: Simplify right side
    22,252.16x = 393,836,648.76
  5. Step 5: Solve for x
    x = 393,836,648.76/22,252.16
  6. Step 6: Final answer
    x = 17,698.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.