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Finding the Fourth Proportional to 19,504.58, 29,259.75 and 5,651.78

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Solution

The fourth proportional to 19,504.58, 29,259.75 and 5,651.78 is: 8,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.58 : 29,259.75 = 5,651.78 : x
  2. Step 2: Convert to fraction form
    19,504.58/29,259.75 = 5,651.78/x
  3. Step 3: Cross multiply
    19,504.58x = 29,259.75 × 5,651.78
  4. Step 4: Simplify right side
    19,504.58x = 165,369,669.86
  5. Step 5: Solve for x
    x = 165,369,669.86/19,504.58
  6. Step 6: Final answer
    x = 8,478.50

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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.