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Finding the Fourth Proportional to 23,644.80, 35,467.20 and 9,820.80

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Solution

The fourth proportional to 23,644.80, 35,467.20 and 9,820.80 is: 14,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.80 : 35,467.20 = 9,820.80 : x
  2. Step 2: Convert to fraction form
    23,644.80/35,467.20 = 9,820.80/x
  3. Step 3: Cross multiply
    23,644.80x = 35,467.20 × 9,820.80
  4. Step 4: Simplify right side
    23,644.80x = 348,316,277.76
  5. Step 5: Solve for x
    x = 348,316,277.76/23,644.80
  6. Step 6: Final answer
    x = 14,731.20

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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.