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Finding the Fourth Proportional to 23,854.56, 35,782.65 and 6,326.16

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Solution

The fourth proportional to 23,854.56, 35,782.65 and 6,326.16 is: 9,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.56 : 35,782.65 = 6,326.16 : x
  2. Step 2: Convert to fraction form
    23,854.56/35,782.65 = 6,326.16/x
  3. Step 3: Cross multiply
    23,854.56x = 35,782.65 × 6,326.16
  4. Step 4: Simplify right side
    23,854.56x = 226,366,769.12
  5. Step 5: Solve for x
    x = 226,366,769.12/23,854.56
  6. Step 6: Final answer
    x = 9,489.45

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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.