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Finding the Fourth Proportional to 19,546.00, 29,319 and 7,856.48

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Solution

The fourth proportional to 19,546.00, 29,319 and 7,856.48 is: 11,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.00 : 29,319 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    19,546.00/29,319 = 7,856.48/x
  3. Step 3: Cross multiply
    19,546.00x = 29,319 × 7,856.48
  4. Step 4: Simplify right side
    19,546.00x = 230,344,210.42
  5. Step 5: Solve for x
    x = 230,344,210.42/19,546.00
  6. Step 6: Final answer
    x = 11,784.73

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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.