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Finding the Fourth Proportional to 19,466.66, 29,206.48 and 8,378.66

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Solution

The fourth proportional to 19,466.66, 29,206.48 and 8,378.66 is: 12,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.66 : 29,206.48 = 8,378.66 : x
  2. Step 2: Convert to fraction form
    19,466.66/29,206.48 = 8,378.66/x
  3. Step 3: Cross multiply
    19,466.66x = 29,206.48 × 8,378.66
  4. Step 4: Simplify right side
    19,466.66x = 244,711,165.72
  5. Step 5: Solve for x
    x = 244,711,165.72/19,466.66
  6. Step 6: Final answer
    x = 12,570.78

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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.