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Finding the Fourth Proportional to 15,801.09, 23,695.04 and 6,434.73

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Solution

The fourth proportional to 15,801.09, 23,695.04 and 6,434.73 is: 9,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.09 : 23,695.04 = 6,434.73 : x
  2. Step 2: Convert to fraction form
    15,801.09/23,695.04 = 6,434.73/x
  3. Step 3: Cross multiply
    15,801.09x = 23,695.04 × 6,434.73
  4. Step 4: Simplify right side
    15,801.09x = 152,471,184.74
  5. Step 5: Solve for x
    x = 152,471,184.74/15,801.09
  6. Step 6: Final answer
    x = 9,649.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.