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Finding the Fourth Proportional to 19,496, 29,247.04 and 6,345.26

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Solution

The fourth proportional to 19,496, 29,247.04 and 6,345.26 is: 9,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496 : 29,247.04 = 6,345.26 : x
  2. Step 2: Convert to fraction form
    19,496/29,247.04 = 6,345.26/x
  3. Step 3: Cross multiply
    19,496x = 29,247.04 × 6,345.26
  4. Step 4: Simplify right side
    19,496x = 185,580,073.03
  5. Step 5: Solve for x
    x = 185,580,073.03/19,496
  6. Step 6: Final answer
    x = 9,518.88

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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.