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Finding the Fourth Proportional to 21,164.95, 29,208.18 and 11,965.77

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Solution

The fourth proportional to 21,164.95, 29,208.18 and 11,965.77 is: 16,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.95 : 29,208.18 = 11,965.77 : x
  2. Step 2: Convert to fraction form
    21,164.95/29,208.18 = 11,965.77/x
  3. Step 3: Cross multiply
    21,164.95x = 29,208.18 × 11,965.77
  4. Step 4: Simplify right side
    21,164.95x = 349,498,259.41
  5. Step 5: Solve for x
    x = 349,498,259.41/21,164.95
  6. Step 6: Final answer
    x = 16,513.07

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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.