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Finding the Fourth Proportional to 22,952.24, 34,430.52 and 9,098

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Solution

The fourth proportional to 22,952.24, 34,430.52 and 9,098 is: 13,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.24 : 34,430.52 = 9,098 : x
  2. Step 2: Convert to fraction form
    22,952.24/34,430.52 = 9,098/x
  3. Step 3: Cross multiply
    22,952.24x = 34,430.52 × 9,098
  4. Step 4: Simplify right side
    22,952.24x = 313,248,870.96
  5. Step 5: Solve for x
    x = 313,248,870.96/22,952.24
  6. Step 6: Final answer
    x = 13,647.86

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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.