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Finding the Fourth Proportional to 16,317.58, 22,518 and 9,147.49

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Solution

The fourth proportional to 16,317.58, 22,518 and 9,147.49 is: 12,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317.58 : 22,518 = 9,147.49 : x
  2. Step 2: Convert to fraction form
    16,317.58/22,518 = 9,147.49/x
  3. Step 3: Cross multiply
    16,317.58x = 22,518 × 9,147.49
  4. Step 4: Simplify right side
    16,317.58x = 205,983,179.82
  5. Step 5: Solve for x
    x = 205,983,179.82/16,317.58
  6. Step 6: Final answer
    x = 12,623.39

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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.