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Finding the Fourth Proportional to 21,977.84, 32,979.72 and 8,827.76

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Solution

The fourth proportional to 21,977.84, 32,979.72 and 8,827.76 is: 13,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.84 : 32,979.72 = 8,827.76 : x
  2. Step 2: Convert to fraction form
    21,977.84/32,979.72 = 8,827.76/x
  3. Step 3: Cross multiply
    21,977.84x = 32,979.72 × 8,827.76
  4. Step 4: Simplify right side
    21,977.84x = 291,137,053.03
  5. Step 5: Solve for x
    x = 291,137,053.03/21,977.84
  6. Step 6: Final answer
    x = 13,246.85

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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.