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Finding the Fourth Proportional to 12,562.86, 18,834.57 and 5,632.50

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Solution

The fourth proportional to 12,562.86, 18,834.57 and 5,632.50 is: 8,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.86 : 18,834.57 = 5,632.50 : x
  2. Step 2: Convert to fraction form
    12,562.86/18,834.57 = 5,632.50/x
  3. Step 3: Cross multiply
    12,562.86x = 18,834.57 × 5,632.50
  4. Step 4: Simplify right side
    12,562.86x = 106,085,715.53
  5. Step 5: Solve for x
    x = 106,085,715.53/12,562.86
  6. Step 6: Final answer
    x = 8,444.39

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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.