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Finding the Fourth Proportional to 19,347, 29,022.98 and 5,496.36

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Solution

The fourth proportional to 19,347, 29,022.98 and 5,496.36 is: 8,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347 : 29,022.98 = 5,496.36 : x
  2. Step 2: Convert to fraction form
    19,347/29,022.98 = 5,496.36/x
  3. Step 3: Cross multiply
    19,347x = 29,022.98 × 5,496.36
  4. Step 4: Simplify right side
    19,347x = 159,520,746.35
  5. Step 5: Solve for x
    x = 159,520,746.35/19,347
  6. Step 6: Final answer
    x = 8,245.24

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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.