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Finding the Fourth Proportional to 19,349.48, 29,028 and 6,200.84

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Solution

The fourth proportional to 19,349.48, 29,028 and 6,200.84 is: 9,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,349.48 : 29,028 = 6,200.84 : x
  2. Step 2: Convert to fraction form
    19,349.48/29,028 = 6,200.84/x
  3. Step 3: Cross multiply
    19,349.48x = 29,028 × 6,200.84
  4. Step 4: Simplify right side
    19,349.48x = 179,997,983.52
  5. Step 5: Solve for x
    x = 179,997,983.52/19,349.48
  6. Step 6: Final answer
    x = 9,302.47

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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.