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Finding the Fourth Proportional to 16,492.54, 22,759.22 and 9,686.44

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Solution

The fourth proportional to 16,492.54, 22,759.22 and 9,686.44 is: 13,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.54 : 22,759.22 = 9,686.44 : x
  2. Step 2: Convert to fraction form
    16,492.54/22,759.22 = 9,686.44/x
  3. Step 3: Cross multiply
    16,492.54x = 22,759.22 × 9,686.44
  4. Step 4: Simplify right side
    16,492.54x = 220,455,818.98
  5. Step 5: Solve for x
    x = 220,455,818.98/16,492.54
  6. Step 6: Final answer
    x = 13,367.00

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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.