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Finding the Fourth Proportional to 20,875.57, 31,317.74 and 6,834.53

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Solution

The fourth proportional to 20,875.57, 31,317.74 and 6,834.53 is: 10,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.57 : 31,317.74 = 6,834.53 : x
  2. Step 2: Convert to fraction form
    20,875.57/31,317.74 = 6,834.53/x
  3. Step 3: Cross multiply
    20,875.57x = 31,317.74 × 6,834.53
  4. Step 4: Simplify right side
    20,875.57x = 214,041,927.15
  5. Step 5: Solve for x
    x = 214,041,927.15/20,875.57
  6. Step 6: Final answer
    x = 10,253.22

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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.