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Finding the Fourth Proportional to 19,592.36, 29,377.50 and 6,441.20

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Solution

The fourth proportional to 19,592.36, 29,377.50 and 6,441.20 is: 9,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,592.36 : 29,377.50 = 6,441.20 : x
  2. Step 2: Convert to fraction form
    19,592.36/29,377.50 = 6,441.20/x
  3. Step 3: Cross multiply
    19,592.36x = 29,377.50 × 6,441.20
  4. Step 4: Simplify right side
    19,592.36x = 189,226,353
  5. Step 5: Solve for x
    x = 189,226,353/19,592.36
  6. Step 6: Final answer
    x = 9,658.17

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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.