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Finding the Fourth Proportional to 28,258.70, 42,388.38 and 8,538.14

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Solution

The fourth proportional to 28,258.70, 42,388.38 and 8,538.14 is: 12,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258.70 : 42,388.38 = 8,538.14 : x
  2. Step 2: Convert to fraction form
    28,258.70/42,388.38 = 8,538.14/x
  3. Step 3: Cross multiply
    28,258.70x = 42,388.38 × 8,538.14
  4. Step 4: Simplify right side
    28,258.70x = 361,917,922.81
  5. Step 5: Solve for x
    x = 361,917,922.81/28,258.70
  6. Step 6: Final answer
    x = 12,807.31

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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.