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Finding the Fourth Proportional to 23,459.86, 35,192.69 and 7,660.66

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Solution

The fourth proportional to 23,459.86, 35,192.69 and 7,660.66 is: 11,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.86 : 35,192.69 = 7,660.66 : x
  2. Step 2: Convert to fraction form
    23,459.86/35,192.69 = 7,660.66/x
  3. Step 3: Cross multiply
    23,459.86x = 35,192.69 × 7,660.66
  4. Step 4: Simplify right side
    23,459.86x = 269,599,232.58
  5. Step 5: Solve for x
    x = 269,599,232.58/23,459.86
  6. Step 6: Final answer
    x = 11,491.94

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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.