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Finding the Fourth Proportional to 21,864.66, 32,807.70 and 9,381

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Solution

The fourth proportional to 21,864.66, 32,807.70 and 9,381 is: 14,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.66 : 32,807.70 = 9,381 : x
  2. Step 2: Convert to fraction form
    21,864.66/32,807.70 = 9,381/x
  3. Step 3: Cross multiply
    21,864.66x = 32,807.70 × 9,381
  4. Step 4: Simplify right side
    21,864.66x = 307,769,033.70
  5. Step 5: Solve for x
    x = 307,769,033.70/21,864.66
  6. Step 6: Final answer
    x = 14,076.10

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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.