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Finding the Fourth Proportional to 28,258.14, 42,357.63 and 9,531.72

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Solution

The fourth proportional to 28,258.14, 42,357.63 and 9,531.72 is: 14,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258.14 : 42,357.63 = 9,531.72 : x
  2. Step 2: Convert to fraction form
    28,258.14/42,357.63 = 9,531.72/x
  3. Step 3: Cross multiply
    28,258.14x = 42,357.63 × 9,531.72
  4. Step 4: Simplify right side
    28,258.14x = 403,741,069.02
  5. Step 5: Solve for x
    x = 403,741,069.02/28,258.14
  6. Step 6: Final answer
    x = 14,287.60

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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.