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Finding the Fourth Proportional to 13,856.40, 20,784.60 and 9,482.40

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Solution

The fourth proportional to 13,856.40, 20,784.60 and 9,482.40 is: 14,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.40 : 20,784.60 = 9,482.40 : x
  2. Step 2: Convert to fraction form
    13,856.40/20,784.60 = 9,482.40/x
  3. Step 3: Cross multiply
    13,856.40x = 20,784.60 × 9,482.40
  4. Step 4: Simplify right side
    13,856.40x = 197,087,891.04
  5. Step 5: Solve for x
    x = 197,087,891.04/13,856.40
  6. Step 6: Final answer
    x = 14,223.60

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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.