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Finding the Fourth Proportional to 23,507.83, 35,252.86 and 9,463.08

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Solution

The fourth proportional to 23,507.83, 35,252.86 and 9,463.08 is: 14,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.83 : 35,252.86 = 9,463.08 : x
  2. Step 2: Convert to fraction form
    23,507.83/35,252.86 = 9,463.08/x
  3. Step 3: Cross multiply
    23,507.83x = 35,252.86 × 9,463.08
  4. Step 4: Simplify right side
    23,507.83x = 333,600,634.41
  5. Step 5: Solve for x
    x = 333,600,634.41/23,507.83
  6. Step 6: Final answer
    x = 14,191.04

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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.