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Finding the Fourth Proportional to 23,137.95, 34,701.51 and 6,499.58

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Solution

The fourth proportional to 23,137.95, 34,701.51 and 6,499.58 is: 9,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.95 : 34,701.51 = 6,499.58 : x
  2. Step 2: Convert to fraction form
    23,137.95/34,701.51 = 6,499.58/x
  3. Step 3: Cross multiply
    23,137.95x = 34,701.51 × 6,499.58
  4. Step 4: Simplify right side
    23,137.95x = 225,545,091.23
  5. Step 5: Solve for x
    x = 225,545,091.23/23,137.95
  6. Step 6: Final answer
    x = 9,747.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.