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Finding the Fourth Proportional to 23,119.66, 31,904.96 and 12,509.14

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Solution

The fourth proportional to 23,119.66, 31,904.96 and 12,509.14 is: 17,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.66 : 31,904.96 = 12,509.14 : x
  2. Step 2: Convert to fraction form
    23,119.66/31,904.96 = 12,509.14/x
  3. Step 3: Cross multiply
    23,119.66x = 31,904.96 × 12,509.14
  4. Step 4: Simplify right side
    23,119.66x = 399,103,611.33
  5. Step 5: Solve for x
    x = 399,103,611.33/23,119.66
  6. Step 6: Final answer
    x = 17,262.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.