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Finding the Fourth Proportional to 29,533.66, 40,757.14 and 16,784.84

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Solution

The fourth proportional to 29,533.66, 40,757.14 and 16,784.84 is: 23,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.66 : 40,757.14 = 16,784.84 : x
  2. Step 2: Convert to fraction form
    29,533.66/40,757.14 = 16,784.84/x
  3. Step 3: Cross multiply
    29,533.66x = 40,757.14 × 16,784.84
  4. Step 4: Simplify right side
    29,533.66x = 684,102,073.76
  5. Step 5: Solve for x
    x = 684,102,073.76/29,533.66
  6. Step 6: Final answer
    x = 23,163.47

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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.