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Finding the Fourth Proportional to 22,632.96, 33,952.48 and 8,598.23

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Solution

The fourth proportional to 22,632.96, 33,952.48 and 8,598.23 is: 12,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.96 : 33,952.48 = 8,598.23 : x
  2. Step 2: Convert to fraction form
    22,632.96/33,952.48 = 8,598.23/x
  3. Step 3: Cross multiply
    22,632.96x = 33,952.48 × 8,598.23
  4. Step 4: Simplify right side
    22,632.96x = 291,931,040.85
  5. Step 5: Solve for x
    x = 291,931,040.85/22,632.96
  6. Step 6: Final answer
    x = 12,898.49

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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.