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Finding the Fourth Proportional to 22,385.49, 33,590.00 and 9,914.13

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Solution

The fourth proportional to 22,385.49, 33,590.00 and 9,914.13 is: 14,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.49 : 33,590.00 = 9,914.13 : x
  2. Step 2: Convert to fraction form
    22,385.49/33,590.00 = 9,914.13/x
  3. Step 3: Cross multiply
    22,385.49x = 33,590.00 × 9,914.13
  4. Step 4: Simplify right side
    22,385.49x = 333,015,577.13
  5. Step 5: Solve for x
    x = 333,015,577.13/22,385.49
  6. Step 6: Final answer
    x = 14,876.40

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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.