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Finding the Fourth Proportional to 16,163.16, 22,300.56 and 9,700.17

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Solution

The fourth proportional to 16,163.16, 22,300.56 and 9,700.17 is: 13,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.16 : 22,300.56 = 9,700.17 : x
  2. Step 2: Convert to fraction form
    16,163.16/22,300.56 = 9,700.17/x
  3. Step 3: Cross multiply
    16,163.16x = 22,300.56 × 9,700.17
  4. Step 4: Simplify right side
    16,163.16x = 216,319,223.10
  5. Step 5: Solve for x
    x = 216,319,223.10/16,163.16
  6. Step 6: Final answer
    x = 13,383.47

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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.