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Finding the Fourth Proportional to 16,675.14, 23,011.74 and 9,223.14

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Solution

The fourth proportional to 16,675.14, 23,011.74 and 9,223.14 is: 12,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.14 : 23,011.74 = 9,223.14 : x
  2. Step 2: Convert to fraction form
    16,675.14/23,011.74 = 9,223.14/x
  3. Step 3: Cross multiply
    16,675.14x = 23,011.74 × 9,223.14
  4. Step 4: Simplify right side
    16,675.14x = 212,240,499.66
  5. Step 5: Solve for x
    x = 212,240,499.66/16,675.14
  6. Step 6: Final answer
    x = 12,727.96

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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.