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Finding the Fourth Proportional to 29,006.98, 40,036.89 and 17,822.50

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Solution

The fourth proportional to 29,006.98, 40,036.89 and 17,822.50 is: 24,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.98 : 40,036.89 = 17,822.50 : x
  2. Step 2: Convert to fraction form
    29,006.98/40,036.89 = 17,822.50/x
  3. Step 3: Cross multiply
    29,006.98x = 40,036.89 × 17,822.50
  4. Step 4: Simplify right side
    29,006.98x = 713,557,472.03
  5. Step 5: Solve for x
    x = 713,557,472.03/29,006.98
  6. Step 6: Final answer
    x = 24,599.51

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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.