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Finding the Fourth Proportional to 22,961.57, 31,683.03 and 14,448.74

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Solution

The fourth proportional to 22,961.57, 31,683.03 and 14,448.74 is: 19,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.57 : 31,683.03 = 14,448.74 : x
  2. Step 2: Convert to fraction form
    22,961.57/31,683.03 = 14,448.74/x
  3. Step 3: Cross multiply
    22,961.57x = 31,683.03 × 14,448.74
  4. Step 4: Simplify right side
    22,961.57x = 457,779,862.88
  5. Step 5: Solve for x
    x = 457,779,862.88/22,961.57
  6. Step 6: Final answer
    x = 19,936.78

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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.