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Finding the Fourth Proportional to 30,223.72, 41,695.14 and 17,641

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Solution

The fourth proportional to 30,223.72, 41,695.14 and 17,641 is: 24,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.72 : 41,695.14 = 17,641 : x
  2. Step 2: Convert to fraction form
    30,223.72/41,695.14 = 17,641/x
  3. Step 3: Cross multiply
    30,223.72x = 41,695.14 × 17,641
  4. Step 4: Simplify right side
    30,223.72x = 735,543,964.74
  5. Step 5: Solve for x
    x = 735,543,964.74/30,223.72
  6. Step 6: Final answer
    x = 24,336.65

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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.