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Finding the Fourth Proportional to 16,822.42, 23,214.94 and 9,752.94

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Solution

The fourth proportional to 16,822.42, 23,214.94 and 9,752.94 is: 13,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.42 : 23,214.94 = 9,752.94 : x
  2. Step 2: Convert to fraction form
    16,822.42/23,214.94 = 9,752.94/x
  3. Step 3: Cross multiply
    16,822.42x = 23,214.94 × 9,752.94
  4. Step 4: Simplify right side
    16,822.42x = 226,413,892.54
  5. Step 5: Solve for x
    x = 226,413,892.54/16,822.42
  6. Step 6: Final answer
    x = 13,459.06

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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.