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Finding the Fourth Proportional to 23,527.12, 35,262.24 and 8,731.12

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Solution

The fourth proportional to 23,527.12, 35,262.24 and 8,731.12 is: 13,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.12 : 35,262.24 = 8,731.12 : x
  2. Step 2: Convert to fraction form
    23,527.12/35,262.24 = 8,731.12/x
  3. Step 3: Cross multiply
    23,527.12x = 35,262.24 × 8,731.12
  4. Step 4: Simplify right side
    23,527.12x = 307,878,848.91
  5. Step 5: Solve for x
    x = 307,878,848.91/23,527.12
  6. Step 6: Final answer
    x = 13,086.13

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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.