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Finding the Fourth Proportional to 21,611.67, 32,417.40 and 8,454.76

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Solution

The fourth proportional to 21,611.67, 32,417.40 and 8,454.76 is: 12,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.67 : 32,417.40 = 8,454.76 : x
  2. Step 2: Convert to fraction form
    21,611.67/32,417.40 = 8,454.76/x
  3. Step 3: Cross multiply
    21,611.67x = 32,417.40 × 8,454.76
  4. Step 4: Simplify right side
    21,611.67x = 274,081,336.82
  5. Step 5: Solve for x
    x = 274,081,336.82/21,611.67
  6. Step 6: Final answer
    x = 12,682.10

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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.