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Finding the Fourth Proportional to 23,098.42, 34,647.55 and 8,307.31

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Solution

The fourth proportional to 23,098.42, 34,647.55 and 8,307.31 is: 12,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.42 : 34,647.55 = 8,307.31 : x
  2. Step 2: Convert to fraction form
    23,098.42/34,647.55 = 8,307.31/x
  3. Step 3: Cross multiply
    23,098.42x = 34,647.55 × 8,307.31
  4. Step 4: Simplify right side
    23,098.42x = 287,827,896.17
  5. Step 5: Solve for x
    x = 287,827,896.17/23,098.42
  6. Step 6: Final answer
    x = 12,460.94

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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.