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Finding the Fourth Proportional to 15,608.16, 23,422 and 6,374.16

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Solution

The fourth proportional to 15,608.16, 23,422 and 6,374.16 is: 9,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608.16 : 23,422 = 6,374.16 : x
  2. Step 2: Convert to fraction form
    15,608.16/23,422 = 6,374.16/x
  3. Step 3: Cross multiply
    15,608.16x = 23,422 × 6,374.16
  4. Step 4: Simplify right side
    15,608.16x = 149,295,575.52
  5. Step 5: Solve for x
    x = 149,295,575.52/15,608.16
  6. Step 6: Final answer
    x = 9,565.23

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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.