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Finding the Fourth Proportional to 16,758.56, 23,126.81 and 9,205.10

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Solution

The fourth proportional to 16,758.56, 23,126.81 and 9,205.10 is: 12,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.56 : 23,126.81 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    16,758.56/23,126.81 = 9,205.10/x
  3. Step 3: Cross multiply
    16,758.56x = 23,126.81 × 9,205.10
  4. Step 4: Simplify right side
    16,758.56x = 212,884,552.71
  5. Step 5: Solve for x
    x = 212,884,552.71/16,758.56
  6. Step 6: Final answer
    x = 12,703.03

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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.