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Finding the Fourth Proportional to 22,708.35, 34,074.81 and 9,569.88

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Solution

The fourth proportional to 22,708.35, 34,074.81 and 9,569.88 is: 14,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.35 : 34,074.81 = 9,569.88 : x
  2. Step 2: Convert to fraction form
    22,708.35/34,074.81 = 9,569.88/x
  3. Step 3: Cross multiply
    22,708.35x = 34,074.81 × 9,569.88
  4. Step 4: Simplify right side
    22,708.35x = 326,091,842.72
  5. Step 5: Solve for x
    x = 326,091,842.72/22,708.35
  6. Step 6: Final answer
    x = 14,360.00

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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.