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Finding the Fourth Proportional to 16,021.24, 22,109.95 and 9,215.25

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Solution

The fourth proportional to 16,021.24, 22,109.95 and 9,215.25 is: 12,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.24 : 22,109.95 = 9,215.25 : x
  2. Step 2: Convert to fraction form
    16,021.24/22,109.95 = 9,215.25/x
  3. Step 3: Cross multiply
    16,021.24x = 22,109.95 × 9,215.25
  4. Step 4: Simplify right side
    16,021.24x = 203,748,776.61
  5. Step 5: Solve for x
    x = 203,748,776.61/16,021.24
  6. Step 6: Final answer
    x = 12,717.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.