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Finding the Fourth Proportional to 14,134.38, 19,505.87 and 7,847.16

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Solution

The fourth proportional to 14,134.38, 19,505.87 and 7,847.16 is: 10,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.38 : 19,505.87 = 7,847.16 : x
  2. Step 2: Convert to fraction form
    14,134.38/19,505.87 = 7,847.16/x
  3. Step 3: Cross multiply
    14,134.38x = 19,505.87 × 7,847.16
  4. Step 4: Simplify right side
    14,134.38x = 153,065,682.83
  5. Step 5: Solve for x
    x = 153,065,682.83/14,134.38
  6. Step 6: Final answer
    x = 10,829.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.