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Finding the Fourth Proportional to 21,334.08, 32,000.99 and 11,478

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Solution

The fourth proportional to 21,334.08, 32,000.99 and 11,478 is: 17,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.08 : 32,000.99 = 11,478 : x
  2. Step 2: Convert to fraction form
    21,334.08/32,000.99 = 11,478/x
  3. Step 3: Cross multiply
    21,334.08x = 32,000.99 × 11,478
  4. Step 4: Simplify right side
    21,334.08x = 367,307,305.83
  5. Step 5: Solve for x
    x = 367,307,305.83/21,334.08
  6. Step 6: Final answer
    x = 17,216.93

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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.