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Finding the Fourth Proportional to 23,815.20, 35,722.80 and 9,019.20

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Solution

The fourth proportional to 23,815.20, 35,722.80 and 9,019.20 is: 13,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.20 : 35,722.80 = 9,019.20 : x
  2. Step 2: Convert to fraction form
    23,815.20/35,722.80 = 9,019.20/x
  3. Step 3: Cross multiply
    23,815.20x = 35,722.80 × 9,019.20
  4. Step 4: Simplify right side
    23,815.20x = 322,191,077.76
  5. Step 5: Solve for x
    x = 322,191,077.76/23,815.20
  6. Step 6: Final answer
    x = 13,528.80

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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.