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Finding the Fourth Proportional to 15,495.65, 23,234.24 and 6,137.02

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Solution

The fourth proportional to 15,495.65, 23,234.24 and 6,137.02 is: 9,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,495.65 : 23,234.24 = 6,137.02 : x
  2. Step 2: Convert to fraction form
    15,495.65/23,234.24 = 6,137.02/x
  3. Step 3: Cross multiply
    15,495.65x = 23,234.24 × 6,137.02
  4. Step 4: Simplify right side
    15,495.65x = 142,588,909.26
  5. Step 5: Solve for x
    x = 142,588,909.26/15,495.65
  6. Step 6: Final answer
    x = 9,201.86

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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.