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Finding the Fourth Proportional to 16,822.50, 23,215.05 and 9,753.03

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Solution

The fourth proportional to 16,822.50, 23,215.05 and 9,753.03 is: 13,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.50 : 23,215.05 = 9,753.03 : x
  2. Step 2: Convert to fraction form
    16,822.50/23,215.05 = 9,753.03/x
  3. Step 3: Cross multiply
    16,822.50x = 23,215.05 × 9,753.03
  4. Step 4: Simplify right side
    16,822.50x = 226,416,963.03
  5. Step 5: Solve for x
    x = 226,416,963.03/16,822.50
  6. Step 6: Final answer
    x = 13,459.17

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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.