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Finding the Fourth Proportional to 13,657.82, 20,466.68 and 7,801.52

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Solution

The fourth proportional to 13,657.82, 20,466.68 and 7,801.52 is: 11,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.82 : 20,466.68 = 7,801.52 : x
  2. Step 2: Convert to fraction form
    13,657.82/20,466.68 = 7,801.52/x
  3. Step 3: Cross multiply
    13,657.82x = 20,466.68 × 7,801.52
  4. Step 4: Simplify right side
    13,657.82x = 159,671,072.01
  5. Step 5: Solve for x
    x = 159,671,072.01/13,657.82
  6. Step 6: Final answer
    x = 11,690.82

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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.