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Finding the Fourth Proportional to 34,557.60, 51,823.44 and 14,826

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Solution

The fourth proportional to 34,557.60, 51,823.44 and 14,826 is: 22,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557.60 : 51,823.44 = 14,826 : x
  2. Step 2: Convert to fraction form
    34,557.60/51,823.44 = 14,826/x
  3. Step 3: Cross multiply
    34,557.60x = 51,823.44 × 14,826
  4. Step 4: Simplify right side
    34,557.60x = 768,334,321.44
  5. Step 5: Solve for x
    x = 768,334,321.44/34,557.60
  6. Step 6: Final answer
    x = 22,233.44

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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.