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Finding the Fourth Proportional to 16,428.22, 22,669.68 and 9,713.32

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Solution

The fourth proportional to 16,428.22, 22,669.68 and 9,713.32 is: 13,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.22 : 22,669.68 = 9,713.32 : x
  2. Step 2: Convert to fraction form
    16,428.22/22,669.68 = 9,713.32/x
  3. Step 3: Cross multiply
    16,428.22x = 22,669.68 × 9,713.32
  4. Step 4: Simplify right side
    16,428.22x = 220,197,856.14
  5. Step 5: Solve for x
    x = 220,197,856.14/16,428.22
  6. Step 6: Final answer
    x = 13,403.63

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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.