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Finding the Fourth Proportional to 16,616.18, 22,929.98 and 9,164.18

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Solution

The fourth proportional to 16,616.18, 22,929.98 and 9,164.18 is: 12,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.18 : 22,929.98 = 9,164.18 : x
  2. Step 2: Convert to fraction form
    16,616.18/22,929.98 = 9,164.18/x
  3. Step 3: Cross multiply
    16,616.18x = 22,929.98 × 9,164.18
  4. Step 4: Simplify right side
    16,616.18x = 210,134,464.12
  5. Step 5: Solve for x
    x = 210,134,464.12/16,616.18
  6. Step 6: Final answer
    x = 12,646.38

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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.