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Finding the Fourth Proportional to 25,181.86, 37,773.18 and 6,461.50

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Solution

The fourth proportional to 25,181.86, 37,773.18 and 6,461.50 is: 9,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,181.86 : 37,773.18 = 6,461.50 : x
  2. Step 2: Convert to fraction form
    25,181.86/37,773.18 = 6,461.50/x
  3. Step 3: Cross multiply
    25,181.86x = 37,773.18 × 6,461.50
  4. Step 4: Simplify right side
    25,181.86x = 244,071,402.57
  5. Step 5: Solve for x
    x = 244,071,402.57/25,181.86
  6. Step 6: Final answer
    x = 9,692.35

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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.