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Finding the Fourth Proportional to 24,823.92, 34,258.50 and 14,213.34

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Solution

The fourth proportional to 24,823.92, 34,258.50 and 14,213.34 is: 19,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.92 : 34,258.50 = 14,213.34 : x
  2. Step 2: Convert to fraction form
    24,823.92/34,258.50 = 14,213.34/x
  3. Step 3: Cross multiply
    24,823.92x = 34,258.50 × 14,213.34
  4. Step 4: Simplify right side
    24,823.92x = 486,927,708.39
  5. Step 5: Solve for x
    x = 486,927,708.39/24,823.92
  6. Step 6: Final answer
    x = 19,615.26

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