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Finding the Fourth Proportional to 24,756.30, 37,140.21 and 8,115.30

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Solution

The fourth proportional to 24,756.30, 37,140.21 and 8,115.30 is: 12,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.30 : 37,140.21 = 8,115.30 : x
  2. Step 2: Convert to fraction form
    24,756.30/37,140.21 = 8,115.30/x
  3. Step 3: Cross multiply
    24,756.30x = 37,140.21 × 8,115.30
  4. Step 4: Simplify right side
    24,756.30x = 301,403,946.21
  5. Step 5: Solve for x
    x = 301,403,946.21/24,756.30
  6. Step 6: Final answer
    x = 12,174.84

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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.