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Finding the Fourth Proportional to 16,501.32, 22,766.94 and 9,427.32

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Solution

The fourth proportional to 16,501.32, 22,766.94 and 9,427.32 is: 13,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.32 : 22,766.94 = 9,427.32 : x
  2. Step 2: Convert to fraction form
    16,501.32/22,766.94 = 9,427.32/x
  3. Step 3: Cross multiply
    16,501.32x = 22,766.94 × 9,427.32
  4. Step 4: Simplify right side
    16,501.32x = 214,631,228.80
  5. Step 5: Solve for x
    x = 214,631,228.80/16,501.32
  6. Step 6: Final answer
    x = 13,006.91

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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.