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Finding the Fourth Proportional to 16,523.62, 22,802.62 and 8,969.92

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Solution

The fourth proportional to 16,523.62, 22,802.62 and 8,969.92 is: 12,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.62 : 22,802.62 = 8,969.92 : x
  2. Step 2: Convert to fraction form
    16,523.62/22,802.62 = 8,969.92/x
  3. Step 3: Cross multiply
    16,523.62x = 22,802.62 × 8,969.92
  4. Step 4: Simplify right side
    16,523.62x = 204,537,677.19
  5. Step 5: Solve for x
    x = 204,537,677.19/16,523.62
  6. Step 6: Final answer
    x = 12,378.50

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Why These Related Problems?

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