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Finding the Fourth Proportional to 19,496, 29,229.40 and 6,340.52

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Solution

The fourth proportional to 19,496, 29,229.40 and 6,340.52 is: 9,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496 : 29,229.40 = 6,340.52 : x
  2. Step 2: Convert to fraction form
    19,496/29,229.40 = 6,340.52/x
  3. Step 3: Cross multiply
    19,496x = 29,229.40 × 6,340.52
  4. Step 4: Simplify right side
    19,496x = 185,329,595.29
  5. Step 5: Solve for x
    x = 185,329,595.29/19,496
  6. Step 6: Final answer
    x = 9,506.03

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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.