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Finding the Fourth Proportional to 22,875, 34,308.92 and 8,832.96

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Solution

The fourth proportional to 22,875, 34,308.92 and 8,832.96 is: 13,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875 : 34,308.92 = 8,832.96 : x
  2. Step 2: Convert to fraction form
    22,875/34,308.92 = 8,832.96/x
  3. Step 3: Cross multiply
    22,875x = 34,308.92 × 8,832.96
  4. Step 4: Simplify right side
    22,875x = 303,049,318.00
  5. Step 5: Solve for x
    x = 303,049,318.00/22,875
  6. Step 6: Final answer
    x = 13,248.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.