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Finding the Fourth Proportional to 19,464.66, 29,203.47 and 8,376.66

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Solution

The fourth proportional to 19,464.66, 29,203.47 and 8,376.66 is: 12,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.66 : 29,203.47 = 8,376.66 : x
  2. Step 2: Convert to fraction form
    19,464.66/29,203.47 = 8,376.66/x
  3. Step 3: Cross multiply
    19,464.66x = 29,203.47 × 8,376.66
  4. Step 4: Simplify right side
    19,464.66x = 244,627,539.01
  5. Step 5: Solve for x
    x = 244,627,539.01/19,464.66
  6. Step 6: Final answer
    x = 12,567.78

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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.