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Finding the Fourth Proportional to 24,425.89, 36,641.49 and 7,782.01

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Solution

The fourth proportional to 24,425.89, 36,641.49 and 7,782.01 is: 11,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.89 : 36,641.49 = 7,782.01 : x
  2. Step 2: Convert to fraction form
    24,425.89/36,641.49 = 7,782.01/x
  3. Step 3: Cross multiply
    24,425.89x = 36,641.49 × 7,782.01
  4. Step 4: Simplify right side
    24,425.89x = 285,144,441.59
  5. Step 5: Solve for x
    x = 285,144,441.59/24,425.89
  6. Step 6: Final answer
    x = 11,673.86

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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.