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Finding the Fourth Proportional to 16,493.64, 22,763.70 and 12,983.28

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Solution

The fourth proportional to 16,493.64, 22,763.70 and 12,983.28 is: 17,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.64 : 22,763.70 = 12,983.28 : x
  2. Step 2: Convert to fraction form
    16,493.64/22,763.70 = 12,983.28/x
  3. Step 3: Cross multiply
    16,493.64x = 22,763.70 × 12,983.28
  4. Step 4: Simplify right side
    16,493.64x = 295,547,490.94
  5. Step 5: Solve for x
    x = 295,547,490.94/16,493.64
  6. Step 6: Final answer
    x = 17,918.88

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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.