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Finding the Fourth Proportional to 22,852.56, 34,282.44 and 9,705

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Solution

The fourth proportional to 22,852.56, 34,282.44 and 9,705 is: 14,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.56 : 34,282.44 = 9,705 : x
  2. Step 2: Convert to fraction form
    22,852.56/34,282.44 = 9,705/x
  3. Step 3: Cross multiply
    22,852.56x = 34,282.44 × 9,705
  4. Step 4: Simplify right side
    22,852.56x = 332,711,080.20
  5. Step 5: Solve for x
    x = 332,711,080.20/22,852.56
  6. Step 6: Final answer
    x = 14,559.03

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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.