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Finding the Fourth Proportional to 29,357.69, 40,509.31 and 16,436.30

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Solution

The fourth proportional to 29,357.69, 40,509.31 and 16,436.30 is: 22,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.69 : 40,509.31 = 16,436.30 : x
  2. Step 2: Convert to fraction form
    29,357.69/40,509.31 = 16,436.30/x
  3. Step 3: Cross multiply
    29,357.69x = 40,509.31 × 16,436.30
  4. Step 4: Simplify right side
    29,357.69x = 665,823,089.77
  5. Step 5: Solve for x
    x = 665,823,089.77/29,357.69
  6. Step 6: Final answer
    x = 22,679.68

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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.