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Finding the Fourth Proportional to 24,975.49, 37,455 and 8,330.94

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Solution

The fourth proportional to 24,975.49, 37,455 and 8,330.94 is: 12,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.49 : 37,455 = 8,330.94 : x
  2. Step 2: Convert to fraction form
    24,975.49/37,455 = 8,330.94/x
  3. Step 3: Cross multiply
    24,975.49x = 37,455 × 8,330.94
  4. Step 4: Simplify right side
    24,975.49x = 312,035,357.70
  5. Step 5: Solve for x
    x = 312,035,357.70/24,975.49
  6. Step 6: Final answer
    x = 12,493.66

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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.