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Finding the Fourth Proportional to 23,769.64, 35,644.88 and 8,970.50

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Solution

The fourth proportional to 23,769.64, 35,644.88 and 8,970.50 is: 13,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.64 : 35,644.88 = 8,970.50 : x
  2. Step 2: Convert to fraction form
    23,769.64/35,644.88 = 8,970.50/x
  3. Step 3: Cross multiply
    23,769.64x = 35,644.88 × 8,970.50
  4. Step 4: Simplify right side
    23,769.64x = 319,752,396.04
  5. Step 5: Solve for x
    x = 319,752,396.04/23,769.64
  6. Step 6: Final answer
    x = 13,452.13

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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.