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Finding the Fourth Proportional to 21,238.50, 29,309.94 and 11,807.76

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Solution

The fourth proportional to 21,238.50, 29,309.94 and 11,807.76 is: 16,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.50 : 29,309.94 = 11,807.76 : x
  2. Step 2: Convert to fraction form
    21,238.50/29,309.94 = 11,807.76/x
  3. Step 3: Cross multiply
    21,238.50x = 29,309.94 × 11,807.76
  4. Step 4: Simplify right side
    21,238.50x = 346,084,737.13
  5. Step 5: Solve for x
    x = 346,084,737.13/21,238.50
  6. Step 6: Final answer
    x = 16,295.16

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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.