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Finding the Fourth Proportional to 21,643.76, 32,441.03 and 9,155.99

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Solution

The fourth proportional to 21,643.76, 32,441.03 and 9,155.99 is: 13,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.76 : 32,441.03 = 9,155.99 : x
  2. Step 2: Convert to fraction form
    21,643.76/32,441.03 = 9,155.99/x
  3. Step 3: Cross multiply
    21,643.76x = 32,441.03 × 9,155.99
  4. Step 4: Simplify right side
    21,643.76x = 297,029,538.28
  5. Step 5: Solve for x
    x = 297,029,538.28/21,643.76
  6. Step 6: Final answer
    x = 13,723.57

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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.