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Finding the Fourth Proportional to 12,772.40, 19,158.60 and 9,856.40

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Solution

The fourth proportional to 12,772.40, 19,158.60 and 9,856.40 is: 14,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.40 : 19,158.60 = 9,856.40 : x
  2. Step 2: Convert to fraction form
    12,772.40/19,158.60 = 9,856.40/x
  3. Step 3: Cross multiply
    12,772.40x = 19,158.60 × 9,856.40
  4. Step 4: Simplify right side
    12,772.40x = 188,834,825.04
  5. Step 5: Solve for x
    x = 188,834,825.04/12,772.40
  6. Step 6: Final answer
    x = 14,784.60

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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.