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Finding the Fourth Proportional to 22,252.32, 33,378 and 10,242.96

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Solution

The fourth proportional to 22,252.32, 33,378 and 10,242.96 is: 15,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.32 : 33,378 = 10,242.96 : x
  2. Step 2: Convert to fraction form
    22,252.32/33,378 = 10,242.96/x
  3. Step 3: Cross multiply
    22,252.32x = 33,378 × 10,242.96
  4. Step 4: Simplify right side
    22,252.32x = 341,889,518.88
  5. Step 5: Solve for x
    x = 341,889,518.88/22,252.32
  6. Step 6: Final answer
    x = 15,364.22

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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.