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Finding the Fourth Proportional to 21,864.30, 32,807.73 and 9,381.09

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Solution

The fourth proportional to 21,864.30, 32,807.73 and 9,381.09 is: 14,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.30 : 32,807.73 = 9,381.09 : x
  2. Step 2: Convert to fraction form
    21,864.30/32,807.73 = 9,381.09/x
  3. Step 3: Cross multiply
    21,864.30x = 32,807.73 × 9,381.09
  4. Step 4: Simplify right side
    21,864.30x = 307,772,333.76
  5. Step 5: Solve for x
    x = 307,772,333.76/21,864.30
  6. Step 6: Final answer
    x = 14,076.47

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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.