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Finding the Fourth Proportional to 24,923.50, 37,373.01 and 8,277.73

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Solution

The fourth proportional to 24,923.50, 37,373.01 and 8,277.73 is: 12,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.50 : 37,373.01 = 8,277.73 : x
  2. Step 2: Convert to fraction form
    24,923.50/37,373.01 = 8,277.73/x
  3. Step 3: Cross multiply
    24,923.50x = 37,373.01 × 8,277.73
  4. Step 4: Simplify right side
    24,923.50x = 309,363,686.07
  5. Step 5: Solve for x
    x = 309,363,686.07/24,923.50
  6. Step 6: Final answer
    x = 12,412.53

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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.