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Finding the Fourth Proportional to 23,868.77, 35,817.03 and 9,830.21

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Solution

The fourth proportional to 23,868.77, 35,817.03 and 9,830.21 is: 14,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868.77 : 35,817.03 = 9,830.21 : x
  2. Step 2: Convert to fraction form
    23,868.77/35,817.03 = 9,830.21/x
  3. Step 3: Cross multiply
    23,868.77x = 35,817.03 × 9,830.21
  4. Step 4: Simplify right side
    23,868.77x = 352,088,747.39
  5. Step 5: Solve for x
    x = 352,088,747.39/23,868.77
  6. Step 6: Final answer
    x = 14,751.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.