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Finding the Fourth Proportional to 29,107.87, 43,669.83 and 11,590

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Solution

The fourth proportional to 29,107.87, 43,669.83 and 11,590 is: 17,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,107.87 : 43,669.83 = 11,590 : x
  2. Step 2: Convert to fraction form
    29,107.87/43,669.83 = 11,590/x
  3. Step 3: Cross multiply
    29,107.87x = 43,669.83 × 11,590
  4. Step 4: Simplify right side
    29,107.87x = 506,133,329.70
  5. Step 5: Solve for x
    x = 506,133,329.70/29,107.87
  6. Step 6: Final answer
    x = 17,388.20

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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.