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Finding the Fourth Proportional to 10,205.60, 15,340.80 and 9,622.40

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Solution

The fourth proportional to 10,205.60, 15,340.80 and 9,622.40 is: 14,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.60 : 15,340.80 = 9,622.40 : x
  2. Step 2: Convert to fraction form
    10,205.60/15,340.80 = 9,622.40/x
  3. Step 3: Cross multiply
    10,205.60x = 15,340.80 × 9,622.40
  4. Step 4: Simplify right side
    10,205.60x = 147,615,313.92
  5. Step 5: Solve for x
    x = 147,615,313.92/10,205.60
  6. Step 6: Final answer
    x = 14,464.15

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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.