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Finding the Fourth Proportional to 24,627.50, 36,941.26 and 6,159.50

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Solution

The fourth proportional to 24,627.50, 36,941.26 and 6,159.50 is: 9,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627.50 : 36,941.26 = 6,159.50 : x
  2. Step 2: Convert to fraction form
    24,627.50/36,941.26 = 6,159.50/x
  3. Step 3: Cross multiply
    24,627.50x = 36,941.26 × 6,159.50
  4. Step 4: Simplify right side
    24,627.50x = 227,539,690.97
  5. Step 5: Solve for x
    x = 227,539,690.97/24,627.50
  6. Step 6: Final answer
    x = 9,239.25

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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.