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Finding the Fourth Proportional to 16,523.66, 22,802.65 and 8,969.98

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Solution

The fourth proportional to 16,523.66, 22,802.65 and 8,969.98 is: 12,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.66 : 22,802.65 = 8,969.98 : x
  2. Step 2: Convert to fraction form
    16,523.66/22,802.65 = 8,969.98/x
  3. Step 3: Cross multiply
    16,523.66x = 22,802.65 × 8,969.98
  4. Step 4: Simplify right side
    16,523.66x = 204,539,235.02
  5. Step 5: Solve for x
    x = 204,539,235.02/16,523.66
  6. Step 6: Final answer
    x = 12,378.57

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1.5x scale

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.