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Finding the Fourth Proportional to 23,281.30, 34,902.47 and 9,232.56

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Solution

The fourth proportional to 23,281.30, 34,902.47 and 9,232.56 is: 13,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.30 : 34,902.47 = 9,232.56 : x
  2. Step 2: Convert to fraction form
    23,281.30/34,902.47 = 9,232.56/x
  3. Step 3: Cross multiply
    23,281.30x = 34,902.47 × 9,232.56
  4. Step 4: Simplify right side
    23,281.30x = 322,239,047.37
  5. Step 5: Solve for x
    x = 322,239,047.37/23,281.30
  6. Step 6: Final answer
    x = 13,841.11

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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.