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Finding the Fourth Proportional to 21,617.76, 29,832.50 and 11,681.76

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Solution

The fourth proportional to 21,617.76, 29,832.50 and 11,681.76 is: 16,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.76 : 29,832.50 = 11,681.76 : x
  2. Step 2: Convert to fraction form
    21,617.76/29,832.50 = 11,681.76/x
  3. Step 3: Cross multiply
    21,617.76x = 29,832.50 × 11,681.76
  4. Step 4: Simplify right side
    21,617.76x = 348,496,105.20
  5. Step 5: Solve for x
    x = 348,496,105.20/21,617.76
  6. Step 6: Final answer
    x = 16,120.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.