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Finding the Fourth Proportional to 21,977.34, 32,965.68 and 5,337.50

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Solution

The fourth proportional to 21,977.34, 32,965.68 and 5,337.50 is: 8,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.34 : 32,965.68 = 5,337.50 : x
  2. Step 2: Convert to fraction form
    21,977.34/32,965.68 = 5,337.50/x
  3. Step 3: Cross multiply
    21,977.34x = 32,965.68 × 5,337.50
  4. Step 4: Simplify right side
    21,977.34x = 175,954,317
  5. Step 5: Solve for x
    x = 175,954,317/21,977.34
  6. Step 6: Final answer
    x = 8,006.17

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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.