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Finding the Fourth Proportional to 24,751.86, 37,134.71 and 8,123.59

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Solution

The fourth proportional to 24,751.86, 37,134.71 and 8,123.59 is: 12,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.86 : 37,134.71 = 8,123.59 : x
  2. Step 2: Convert to fraction form
    24,751.86/37,134.71 = 8,123.59/x
  3. Step 3: Cross multiply
    24,751.86x = 37,134.71 × 8,123.59
  4. Step 4: Simplify right side
    24,751.86x = 301,667,158.81
  5. Step 5: Solve for x
    x = 301,667,158.81/24,751.86
  6. Step 6: Final answer
    x = 12,187.66

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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.