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Finding the Fourth Proportional to 29,462.21, 40,657.28 and 16,033.76

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Solution

The fourth proportional to 29,462.21, 40,657.28 and 16,033.76 is: 22,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.21 : 40,657.28 = 16,033.76 : x
  2. Step 2: Convert to fraction form
    29,462.21/40,657.28 = 16,033.76/x
  3. Step 3: Cross multiply
    29,462.21x = 40,657.28 × 16,033.76
  4. Step 4: Simplify right side
    29,462.21x = 651,888,786.32
  5. Step 5: Solve for x
    x = 651,888,786.32/29,462.21
  6. Step 6: Final answer
    x = 22,126.27

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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.