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Finding the Fourth Proportional to 28,258.34, 42,392.19 and 9,540.14

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Solution

The fourth proportional to 28,258.34, 42,392.19 and 9,540.14 is: 14,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258.34 : 42,392.19 = 9,540.14 : x
  2. Step 2: Convert to fraction form
    28,258.34/42,392.19 = 9,540.14/x
  3. Step 3: Cross multiply
    28,258.34x = 42,392.19 × 9,540.14
  4. Step 4: Simplify right side
    28,258.34x = 404,427,427.51
  5. Step 5: Solve for x
    x = 404,427,427.51/28,258.34
  6. Step 6: Final answer
    x = 14,311.79

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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.