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Finding the Fourth Proportional to 15,773.31, 23,604.42 and 9,852.99

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Solution

The fourth proportional to 15,773.31, 23,604.42 and 9,852.99 is: 14,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.31 : 23,604.42 = 9,852.99 : x
  2. Step 2: Convert to fraction form
    15,773.31/23,604.42 = 9,852.99/x
  3. Step 3: Cross multiply
    15,773.31x = 23,604.42 × 9,852.99
  4. Step 4: Simplify right side
    15,773.31x = 232,574,062.65
  5. Step 5: Solve for x
    x = 232,574,062.65/15,773.31
  6. Step 6: Final answer
    x = 14,744.78

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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.