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Finding the Fourth Proportional to 16,258.22, 24,384.78 and 5,163.45

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Solution

The fourth proportional to 16,258.22, 24,384.78 and 5,163.45 is: 7,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.22 : 24,384.78 = 5,163.45 : x
  2. Step 2: Convert to fraction form
    16,258.22/24,384.78 = 5,163.45/x
  3. Step 3: Cross multiply
    16,258.22x = 24,384.78 × 5,163.45
  4. Step 4: Simplify right side
    16,258.22x = 125,909,483.28
  5. Step 5: Solve for x
    x = 125,909,483.28/16,258.22
  6. Step 6: Final answer
    x = 7,744.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.