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Finding the Fourth Proportional to 16,917, 23,345.64 and 9,363.48

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Solution

The fourth proportional to 16,917, 23,345.64 and 9,363.48 is: 12,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917 : 23,345.64 = 9,363.48 : x
  2. Step 2: Convert to fraction form
    16,917/23,345.64 = 9,363.48/x
  3. Step 3: Cross multiply
    16,917x = 23,345.64 × 9,363.48
  4. Step 4: Simplify right side
    16,917x = 218,596,433.23
  5. Step 5: Solve for x
    x = 218,596,433.23/16,917
  6. Step 6: Final answer
    x = 12,921.70

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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.