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Finding the Fourth Proportional to 11,824.60, 17,715.30 and 9,621.40

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Solution

The fourth proportional to 11,824.60, 17,715.30 and 9,621.40 is: 14,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.60 : 17,715.30 = 9,621.40 : x
  2. Step 2: Convert to fraction form
    11,824.60/17,715.30 = 9,621.40/x
  3. Step 3: Cross multiply
    11,824.60x = 17,715.30 × 9,621.40
  4. Step 4: Simplify right side
    11,824.60x = 170,445,987.42
  5. Step 5: Solve for x
    x = 170,445,987.42/11,824.60
  6. Step 6: Final answer
    x = 14,414.52

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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.