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Finding the Fourth Proportional to 21,466.68, 32,211.36 and 11,076

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Solution

The fourth proportional to 21,466.68, 32,211.36 and 11,076 is: 16,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.68 : 32,211.36 = 11,076 : x
  2. Step 2: Convert to fraction form
    21,466.68/32,211.36 = 11,076/x
  3. Step 3: Cross multiply
    21,466.68x = 32,211.36 × 11,076
  4. Step 4: Simplify right side
    21,466.68x = 356,773,023.36
  5. Step 5: Solve for x
    x = 356,773,023.36/21,466.68
  6. Step 6: Final answer
    x = 16,619.85

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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.