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Finding the Fourth Proportional to 37,486.08, 56,240.64 and 12,864

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Solution

The fourth proportional to 37,486.08, 56,240.64 and 12,864 is: 19,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.08 : 56,240.64 = 12,864 : x
  2. Step 2: Convert to fraction form
    37,486.08/56,240.64 = 12,864/x
  3. Step 3: Cross multiply
    37,486.08x = 56,240.64 × 12,864
  4. Step 4: Simplify right side
    37,486.08x = 723,479,592.96
  5. Step 5: Solve for x
    x = 723,479,592.96/37,486.08
  6. Step 6: Final answer
    x = 19,299.95

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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.