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Finding the Fourth Proportional to 22,983.98, 34,475.28 and 6,345.02

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Solution

The fourth proportional to 22,983.98, 34,475.28 and 6,345.02 is: 9,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.98 : 34,475.28 = 6,345.02 : x
  2. Step 2: Convert to fraction form
    22,983.98/34,475.28 = 6,345.02/x
  3. Step 3: Cross multiply
    22,983.98x = 34,475.28 × 6,345.02
  4. Step 4: Simplify right side
    22,983.98x = 218,746,403.50
  5. Step 5: Solve for x
    x = 218,746,403.50/22,983.98
  6. Step 6: Final answer
    x = 9,517.34

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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.