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Finding the Fourth Proportional to 21,876.64, 32,817.20 and 8,727.20

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Solution

The fourth proportional to 21,876.64, 32,817.20 and 8,727.20 is: 13,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.64 : 32,817.20 = 8,727.20 : x
  2. Step 2: Convert to fraction form
    21,876.64/32,817.20 = 8,727.20/x
  3. Step 3: Cross multiply
    21,876.64x = 32,817.20 × 8,727.20
  4. Step 4: Simplify right side
    21,876.64x = 286,402,267.84
  5. Step 5: Solve for x
    x = 286,402,267.84/21,876.64
  6. Step 6: Final answer
    x = 13,091.69

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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.