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Finding the Fourth Proportional to 22,978.08, 34,467.48 and 10,497.60

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Solution

The fourth proportional to 22,978.08, 34,467.48 and 10,497.60 is: 15,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.08 : 34,467.48 = 10,497.60 : x
  2. Step 2: Convert to fraction form
    22,978.08/34,467.48 = 10,497.60/x
  3. Step 3: Cross multiply
    22,978.08x = 34,467.48 × 10,497.60
  4. Step 4: Simplify right side
    22,978.08x = 361,825,818.05
  5. Step 5: Solve for x
    x = 361,825,818.05/22,978.08
  6. Step 6: Final answer
    x = 15,746.56

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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.