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Finding the Fourth Proportional to 29,189.16, 43,798.32 and 11,664

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Solution

The fourth proportional to 29,189.16, 43,798.32 and 11,664 is: 17,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.16 : 43,798.32 = 11,664 : x
  2. Step 2: Convert to fraction form
    29,189.16/43,798.32 = 11,664/x
  3. Step 3: Cross multiply
    29,189.16x = 43,798.32 × 11,664
  4. Step 4: Simplify right side
    29,189.16x = 510,863,604.48
  5. Step 5: Solve for x
    x = 510,863,604.48/29,189.16
  6. Step 6: Final answer
    x = 17,501.83

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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.