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Finding the Fourth Proportional to 16,695, 22,916.32 and 14,764.28

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Solution

The fourth proportional to 16,695, 22,916.32 and 14,764.28 is: 20,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695 : 22,916.32 = 14,764.28 : x
  2. Step 2: Convert to fraction form
    16,695/22,916.32 = 14,764.28/x
  3. Step 3: Cross multiply
    16,695x = 22,916.32 × 14,764.28
  4. Step 4: Simplify right side
    16,695x = 338,342,965.05
  5. Step 5: Solve for x
    x = 338,342,965.05/16,695
  6. Step 6: Final answer
    x = 20,266.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.