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Finding the Fourth Proportional to 13,699.78, 20,549.67 and 4,466.50

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Solution

The fourth proportional to 13,699.78, 20,549.67 and 4,466.50 is: 6,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.78 : 20,549.67 = 4,466.50 : x
  2. Step 2: Convert to fraction form
    13,699.78/20,549.67 = 4,466.50/x
  3. Step 3: Cross multiply
    13,699.78x = 20,549.67 × 4,466.50
  4. Step 4: Simplify right side
    13,699.78x = 91,785,101.06
  5. Step 5: Solve for x
    x = 91,785,101.06/13,699.78
  6. Step 6: Final answer
    x = 6,699.75

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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.