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Finding the Fourth Proportional to 24,978.23, 37,466.47 and 6,258.42

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Solution

The fourth proportional to 24,978.23, 37,466.47 and 6,258.42 is: 9,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.23 : 37,466.47 = 6,258.42 : x
  2. Step 2: Convert to fraction form
    24,978.23/37,466.47 = 6,258.42/x
  3. Step 3: Cross multiply
    24,978.23x = 37,466.47 × 6,258.42
  4. Step 4: Simplify right side
    24,978.23x = 234,480,873.89
  5. Step 5: Solve for x
    x = 234,480,873.89/24,978.23
  6. Step 6: Final answer
    x = 9,387.41

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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.