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Finding the Fourth Proportional to 16,113.29, 22,231.76 and 10,448.25

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Solution

The fourth proportional to 16,113.29, 22,231.76 and 10,448.25 is: 14,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.29 : 22,231.76 = 10,448.25 : x
  2. Step 2: Convert to fraction form
    16,113.29/22,231.76 = 10,448.25/x
  3. Step 3: Cross multiply
    16,113.29x = 22,231.76 × 10,448.25
  4. Step 4: Simplify right side
    16,113.29x = 232,282,934.18
  5. Step 5: Solve for x
    x = 232,282,934.18/16,113.29
  6. Step 6: Final answer
    x = 14,415.62

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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.