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Finding the Fourth Proportional to 15,783.26, 23,642.06 and 7,469.91

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Solution

The fourth proportional to 15,783.26, 23,642.06 and 7,469.91 is: 11,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.26 : 23,642.06 = 7,469.91 : x
  2. Step 2: Convert to fraction form
    15,783.26/23,642.06 = 7,469.91/x
  3. Step 3: Cross multiply
    15,783.26x = 23,642.06 × 7,469.91
  4. Step 4: Simplify right side
    15,783.26x = 176,604,023.07
  5. Step 5: Solve for x
    x = 176,604,023.07/15,783.26
  6. Step 6: Final answer
    x = 11,189.33

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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.