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Finding the Fourth Proportional to 24,627.36, 36,941.22 and 9,840

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Solution

The fourth proportional to 24,627.36, 36,941.22 and 9,840 is: 14,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627.36 : 36,941.22 = 9,840 : x
  2. Step 2: Convert to fraction form
    24,627.36/36,941.22 = 9,840/x
  3. Step 3: Cross multiply
    24,627.36x = 36,941.22 × 9,840
  4. Step 4: Simplify right side
    24,627.36x = 363,501,604.80
  5. Step 5: Solve for x
    x = 363,501,604.80/24,627.36
  6. Step 6: Final answer
    x = 14,760.07

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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.