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Finding the Fourth Proportional to 15,842.24, 23,762.97 and 9,188.66

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Solution

The fourth proportional to 15,842.24, 23,762.97 and 9,188.66 is: 13,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.24 : 23,762.97 = 9,188.66 : x
  2. Step 2: Convert to fraction form
    15,842.24/23,762.97 = 9,188.66/x
  3. Step 3: Cross multiply
    15,842.24x = 23,762.97 × 9,188.66
  4. Step 4: Simplify right side
    15,842.24x = 218,349,851.92
  5. Step 5: Solve for x
    x = 218,349,851.92/15,842.24
  6. Step 6: Final answer
    x = 13,782.76

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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.