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Finding the Fourth Proportional to 16,700.40, 23,049.08 and 9,530.28

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Solution

The fourth proportional to 16,700.40, 23,049.08 and 9,530.28 is: 13,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.40 : 23,049.08 = 9,530.28 : x
  2. Step 2: Convert to fraction form
    16,700.40/23,049.08 = 9,530.28/x
  3. Step 3: Cross multiply
    16,700.40x = 23,049.08 × 9,530.28
  4. Step 4: Simplify right side
    16,700.40x = 219,664,186.14
  5. Step 5: Solve for x
    x = 219,664,186.14/16,700.40
  6. Step 6: Final answer
    x = 13,153.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.