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Finding the Fourth Proportional to 21,838.84, 32,758.27 and 9,350.78

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Solution

The fourth proportional to 21,838.84, 32,758.27 and 9,350.78 is: 14,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.84 : 32,758.27 = 9,350.78 : x
  2. Step 2: Convert to fraction form
    21,838.84/32,758.27 = 9,350.78/x
  3. Step 3: Cross multiply
    21,838.84x = 32,758.27 × 9,350.78
  4. Step 4: Simplify right side
    21,838.84x = 306,315,188.78
  5. Step 5: Solve for x
    x = 306,315,188.78/21,838.84
  6. Step 6: Final answer
    x = 14,026.17

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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.