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Finding the Fourth Proportional to 19,341.64, 29,014.48 and 8,249.50

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Solution

The fourth proportional to 19,341.64, 29,014.48 and 8,249.50 is: 12,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,341.64 : 29,014.48 = 8,249.50 : x
  2. Step 2: Convert to fraction form
    19,341.64/29,014.48 = 8,249.50/x
  3. Step 3: Cross multiply
    19,341.64x = 29,014.48 × 8,249.50
  4. Step 4: Simplify right side
    19,341.64x = 239,354,952.76
  5. Step 5: Solve for x
    x = 239,354,952.76/19,341.64
  6. Step 6: Final answer
    x = 12,375.11

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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.