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Finding the Fourth Proportional to 16,822.64, 23,216.28 and 9,370.64

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Solution

The fourth proportional to 16,822.64, 23,216.28 and 9,370.64 is: 12,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.64 : 23,216.28 = 9,370.64 : x
  2. Step 2: Convert to fraction form
    16,822.64/23,216.28 = 9,370.64/x
  3. Step 3: Cross multiply
    16,822.64x = 23,216.28 × 9,370.64
  4. Step 4: Simplify right side
    16,822.64x = 217,551,402.02
  5. Step 5: Solve for x
    x = 217,551,402.02/16,822.64
  6. Step 6: Final answer
    x = 12,932.06

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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.