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Finding the Fourth Proportional to 23,098.40, 34,647.60 and 8,307.80

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Solution

The fourth proportional to 23,098.40, 34,647.60 and 8,307.80 is: 12,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.40 : 34,647.60 = 8,307.80 : x
  2. Step 2: Convert to fraction form
    23,098.40/34,647.60 = 8,307.80/x
  3. Step 3: Cross multiply
    23,098.40x = 34,647.60 × 8,307.80
  4. Step 4: Simplify right side
    23,098.40x = 287,845,331.28
  5. Step 5: Solve for x
    x = 287,845,331.28/23,098.40
  6. Step 6: Final answer
    x = 12,461.70

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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.