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Finding the Fourth Proportional to 34,816.67, 52,218.35 and 9,850.70

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Solution

The fourth proportional to 34,816.67, 52,218.35 and 9,850.70 is: 14,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816.67 : 52,218.35 = 9,850.70 : x
  2. Step 2: Convert to fraction form
    34,816.67/52,218.35 = 9,850.70/x
  3. Step 3: Cross multiply
    34,816.67x = 52,218.35 × 9,850.70
  4. Step 4: Simplify right side
    34,816.67x = 514,387,300.35
  5. Step 5: Solve for x
    x = 514,387,300.35/34,816.67
  6. Step 6: Final answer
    x = 14,774.17

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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.