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Finding the Fourth Proportional to 22,896.81, 31,587.03 and 14,833.13

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Solution

The fourth proportional to 22,896.81, 31,587.03 and 14,833.13 is: 20,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.81 : 31,587.03 = 14,833.13 : x
  2. Step 2: Convert to fraction form
    22,896.81/31,587.03 = 14,833.13/x
  3. Step 3: Cross multiply
    22,896.81x = 31,587.03 × 14,833.13
  4. Step 4: Simplify right side
    22,896.81x = 468,534,364.37
  5. Step 5: Solve for x
    x = 468,534,364.37/22,896.81
  6. Step 6: Final answer
    x = 20,462.87

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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.