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Finding the Fourth Proportional to 24,431.40, 36,652.06 and 7,790.96

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Solution

The fourth proportional to 24,431.40, 36,652.06 and 7,790.96 is: 11,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.40 : 36,652.06 = 7,790.96 : x
  2. Step 2: Convert to fraction form
    24,431.40/36,652.06 = 7,790.96/x
  3. Step 3: Cross multiply
    24,431.40x = 36,652.06 × 7,790.96
  4. Step 4: Simplify right side
    24,431.40x = 285,554,733.38
  5. Step 5: Solve for x
    x = 285,554,733.38/24,431.40
  6. Step 6: Final answer
    x = 11,688.02

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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.