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Finding the Fourth Proportional to 16,574.41, 22,872.95 and 9,500.88

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Solution

The fourth proportional to 16,574.41, 22,872.95 and 9,500.88 is: 13,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.41 : 22,872.95 = 9,500.88 : x
  2. Step 2: Convert to fraction form
    16,574.41/22,872.95 = 9,500.88/x
  3. Step 3: Cross multiply
    16,574.41x = 22,872.95 × 9,500.88
  4. Step 4: Simplify right side
    16,574.41x = 217,313,153.20
  5. Step 5: Solve for x
    x = 217,313,153.20/16,574.41
  6. Step 6: Final answer
    x = 13,111.37

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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.