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Finding the Fourth Proportional to 16,375.47, 22,598.14 and 8,923.47

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Solution

The fourth proportional to 16,375.47, 22,598.14 and 8,923.47 is: 12,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.47 : 22,598.14 = 8,923.47 : x
  2. Step 2: Convert to fraction form
    16,375.47/22,598.14 = 8,923.47/x
  3. Step 3: Cross multiply
    16,375.47x = 22,598.14 × 8,923.47
  4. Step 4: Simplify right side
    16,375.47x = 201,653,734.03
  5. Step 5: Solve for x
    x = 201,653,734.03/16,375.47
  6. Step 6: Final answer
    x = 12,314.38

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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.