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Finding the Fourth Proportional to 24,868.09, 37,288.49 and 9,860

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Solution

The fourth proportional to 24,868.09, 37,288.49 and 9,860 is: 14,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.09 : 37,288.49 = 9,860 : x
  2. Step 2: Convert to fraction form
    24,868.09/37,288.49 = 9,860/x
  3. Step 3: Cross multiply
    24,868.09x = 37,288.49 × 9,860
  4. Step 4: Simplify right side
    24,868.09x = 367,664,511.40
  5. Step 5: Solve for x
    x = 367,664,511.40/24,868.09
  6. Step 6: Final answer
    x = 14,784.59

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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.