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Finding the Fourth Proportional to 15,444, 21,312.70 and 8,370.42

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Solution

The fourth proportional to 15,444, 21,312.70 and 8,370.42 is: 11,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 21,312.70 = 8,370.42 : x
  2. Step 2: Convert to fraction form
    15,444/21,312.70 = 8,370.42/x
  3. Step 3: Cross multiply
    15,444x = 21,312.70 × 8,370.42
  4. Step 4: Simplify right side
    15,444x = 178,396,250.33
  5. Step 5: Solve for x
    x = 178,396,250.33/15,444
  6. Step 6: Final answer
    x = 11,551.17

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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.