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Finding the Fourth Proportional to 21,838.78, 32,758.20 and 14,490.10

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Solution

The fourth proportional to 21,838.78, 32,758.20 and 14,490.10 is: 21,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.78 : 32,758.20 = 14,490.10 : x
  2. Step 2: Convert to fraction form
    21,838.78/32,758.20 = 14,490.10/x
  3. Step 3: Cross multiply
    21,838.78x = 32,758.20 × 14,490.10
  4. Step 4: Simplify right side
    21,838.78x = 474,669,593.82
  5. Step 5: Solve for x
    x = 474,669,593.82/21,838.78
  6. Step 6: Final answer
    x = 21,735.17

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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.