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Finding the Fourth Proportional to 21,159.06, 29,199.42 and 11,599

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Solution

The fourth proportional to 21,159.06, 29,199.42 and 11,599 is: 16,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.06 : 29,199.42 = 11,599 : x
  2. Step 2: Convert to fraction form
    21,159.06/29,199.42 = 11,599/x
  3. Step 3: Cross multiply
    21,159.06x = 29,199.42 × 11,599
  4. Step 4: Simplify right side
    21,159.06x = 338,684,072.58
  5. Step 5: Solve for x
    x = 338,684,072.58/21,159.06
  6. Step 6: Final answer
    x = 16,006.57

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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.