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Finding the Fourth Proportional to 16,524.14, 22,802.69 and 8,970.31

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Solution

The fourth proportional to 16,524.14, 22,802.69 and 8,970.31 is: 12,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.14 : 22,802.69 = 8,970.31 : x
  2. Step 2: Convert to fraction form
    16,524.14/22,802.69 = 8,970.31/x
  3. Step 3: Cross multiply
    16,524.14x = 22,802.69 × 8,970.31
  4. Step 4: Simplify right side
    16,524.14x = 204,547,163.55
  5. Step 5: Solve for x
    x = 204,547,163.55/16,524.14
  6. Step 6: Final answer
    x = 12,378.69

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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.