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Finding the Fourth Proportional to 15,723.79, 21,698.48 and 9,013.38

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Solution

The fourth proportional to 15,723.79, 21,698.48 and 9,013.38 is: 12,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.79 : 21,698.48 = 9,013.38 : x
  2. Step 2: Convert to fraction form
    15,723.79/21,698.48 = 9,013.38/x
  3. Step 3: Cross multiply
    15,723.79x = 21,698.48 × 9,013.38
  4. Step 4: Simplify right side
    15,723.79x = 195,576,586.83
  5. Step 5: Solve for x
    x = 195,576,586.83/15,723.79
  6. Step 6: Final answer
    x = 12,438.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.