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Finding the Fourth Proportional to 21,862.44, 32,794.74 and 9,384.12

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Solution

The fourth proportional to 21,862.44, 32,794.74 and 9,384.12 is: 14,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.44 : 32,794.74 = 9,384.12 : x
  2. Step 2: Convert to fraction form
    21,862.44/32,794.74 = 9,384.12/x
  3. Step 3: Cross multiply
    21,862.44x = 32,794.74 × 9,384.12
  4. Step 4: Simplify right side
    21,862.44x = 307,749,775.53
  5. Step 5: Solve for x
    x = 307,749,775.53/21,862.44
  6. Step 6: Final answer
    x = 14,076.64

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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.