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Finding the Fourth Proportional to 19,343.05, 29,005.00 and 6,193.71

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Solution

The fourth proportional to 19,343.05, 29,005.00 and 6,193.71 is: 9,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.05 : 29,005.00 = 6,193.71 : x
  2. Step 2: Convert to fraction form
    19,343.05/29,005.00 = 6,193.71/x
  3. Step 3: Cross multiply
    19,343.05x = 29,005.00 × 6,193.71
  4. Step 4: Simplify right side
    19,343.05x = 179,648,543.07
  5. Step 5: Solve for x
    x = 179,648,543.07/19,343.05
  6. Step 6: Final answer
    x = 9,287.50

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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.