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Finding the Fourth Proportional to 19,348, 29,024.48 and 5,497.36

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Solution

The fourth proportional to 19,348, 29,024.48 and 5,497.36 is: 8,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348 : 29,024.48 = 5,497.36 : x
  2. Step 2: Convert to fraction form
    19,348/29,024.48 = 5,497.36/x
  3. Step 3: Cross multiply
    19,348x = 29,024.48 × 5,497.36
  4. Step 4: Simplify right side
    19,348x = 159,558,015.37
  5. Step 5: Solve for x
    x = 159,558,015.37/19,348
  6. Step 6: Final answer
    x = 8,246.74

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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.