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Finding the Fourth Proportional to 12,530.70, 18,759.14 and 9,258.40

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Solution

The fourth proportional to 12,530.70, 18,759.14 and 9,258.40 is: 13,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.70 : 18,759.14 = 9,258.40 : x
  2. Step 2: Convert to fraction form
    12,530.70/18,759.14 = 9,258.40/x
  3. Step 3: Cross multiply
    12,530.70x = 18,759.14 × 9,258.40
  4. Step 4: Simplify right side
    12,530.70x = 173,679,685.73
  5. Step 5: Solve for x
    x = 173,679,685.73/12,530.70
  6. Step 6: Final answer
    x = 13,860.33

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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.