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Finding the Fourth Proportional to 21,977.60, 32,965.93 and 5,337.71

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Solution

The fourth proportional to 21,977.60, 32,965.93 and 5,337.71 is: 8,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.60 : 32,965.93 = 5,337.71 : x
  2. Step 2: Convert to fraction form
    21,977.60/32,965.93 = 5,337.71/x
  3. Step 3: Cross multiply
    21,977.60x = 32,965.93 × 5,337.71
  4. Step 4: Simplify right side
    21,977.60x = 175,962,539.69
  5. Step 5: Solve for x
    x = 175,962,539.69/21,977.60
  6. Step 6: Final answer
    x = 8,006.45

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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.