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Finding the Fourth Proportional to 14,294.32, 21,441.48 and 7,723.60

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Solution

The fourth proportional to 14,294.32, 21,441.48 and 7,723.60 is: 11,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.32 : 21,441.48 = 7,723.60 : x
  2. Step 2: Convert to fraction form
    14,294.32/21,441.48 = 7,723.60/x
  3. Step 3: Cross multiply
    14,294.32x = 21,441.48 × 7,723.60
  4. Step 4: Simplify right side
    14,294.32x = 165,605,414.93
  5. Step 5: Solve for x
    x = 165,605,414.93/14,294.32
  6. Step 6: Final answer
    x = 11,585.40

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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.