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Finding the Fourth Proportional to 23,102.87, 31,886.90 and 14,599.58

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Solution

The fourth proportional to 23,102.87, 31,886.90 and 14,599.58 is: 20,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.87 : 31,886.90 = 14,599.58 : x
  2. Step 2: Convert to fraction form
    23,102.87/31,886.90 = 14,599.58/x
  3. Step 3: Cross multiply
    23,102.87x = 31,886.90 × 14,599.58
  4. Step 4: Simplify right side
    23,102.87x = 465,535,115.07
  5. Step 5: Solve for x
    x = 465,535,115.07/23,102.87
  6. Step 6: Final answer
    x = 20,150.54

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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.