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Finding the Fourth Proportional to 16,338.87, 22,547.61 and 9,965.43

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Solution

The fourth proportional to 16,338.87, 22,547.61 and 9,965.43 is: 13,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.87 : 22,547.61 = 9,965.43 : x
  2. Step 2: Convert to fraction form
    16,338.87/22,547.61 = 9,965.43/x
  3. Step 3: Cross multiply
    16,338.87x = 22,547.61 × 9,965.43
  4. Step 4: Simplify right side
    16,338.87x = 224,696,629.12
  5. Step 5: Solve for x
    x = 224,696,629.12/16,338.87
  6. Step 6: Final answer
    x = 13,752.27

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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.