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Finding the Fourth Proportional to 23,615.20, 35,422.80 and 13,225.60

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Solution

The fourth proportional to 23,615.20, 35,422.80 and 13,225.60 is: 19,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.20 : 35,422.80 = 13,225.60 : x
  2. Step 2: Convert to fraction form
    23,615.20/35,422.80 = 13,225.60/x
  3. Step 3: Cross multiply
    23,615.20x = 35,422.80 × 13,225.60
  4. Step 4: Simplify right side
    23,615.20x = 468,487,783.68
  5. Step 5: Solve for x
    x = 468,487,783.68/23,615.20
  6. Step 6: Final answer
    x = 19,838.40

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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.