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Finding the Fourth Proportional to 21,117.54, 29,142.81 and 11,686.98

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Solution

The fourth proportional to 21,117.54, 29,142.81 and 11,686.98 is: 16,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.54 : 29,142.81 = 11,686.98 : x
  2. Step 2: Convert to fraction form
    21,117.54/29,142.81 = 11,686.98/x
  3. Step 3: Cross multiply
    21,117.54x = 29,142.81 × 11,686.98
  4. Step 4: Simplify right side
    21,117.54x = 340,591,437.61
  5. Step 5: Solve for x
    x = 340,591,437.61/21,117.54
  6. Step 6: Final answer
    x = 16,128.37

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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.