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Finding the Fourth Proportional to 16,617.74, 22,920.75 and 9,898.16

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Solution

The fourth proportional to 16,617.74, 22,920.75 and 9,898.16 is: 13,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.74 : 22,920.75 = 9,898.16 : x
  2. Step 2: Convert to fraction form
    16,617.74/22,920.75 = 9,898.16/x
  3. Step 3: Cross multiply
    16,617.74x = 22,920.75 × 9,898.16
  4. Step 4: Simplify right side
    16,617.74x = 226,873,136.22
  5. Step 5: Solve for x
    x = 226,873,136.22/16,617.74
  6. Step 6: Final answer
    x = 13,652.47

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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.