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Finding the Fourth Proportional to 19,866.53, 29,803.88 and 5,827.01

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Solution

The fourth proportional to 19,866.53, 29,803.88 and 5,827.01 is: 8,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.53 : 29,803.88 = 5,827.01 : x
  2. Step 2: Convert to fraction form
    19,866.53/29,803.88 = 5,827.01/x
  3. Step 3: Cross multiply
    19,866.53x = 29,803.88 × 5,827.01
  4. Step 4: Simplify right side
    19,866.53x = 173,667,372.35
  5. Step 5: Solve for x
    x = 173,667,372.35/19,866.53
  6. Step 6: Final answer
    x = 8,741.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.