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Finding the Fourth Proportional to 23,101.40, 31,883.52 and 15,166.64

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Solution

The fourth proportional to 23,101.40, 31,883.52 and 15,166.64 is: 20,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.40 : 31,883.52 = 15,166.64 : x
  2. Step 2: Convert to fraction form
    23,101.40/31,883.52 = 15,166.64/x
  3. Step 3: Cross multiply
    23,101.40x = 31,883.52 × 15,166.64
  4. Step 4: Simplify right side
    23,101.40x = 483,565,869.77
  5. Step 5: Solve for x
    x = 483,565,869.77/23,101.40
  6. Step 6: Final answer
    x = 20,932.32

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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.