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Finding the Fourth Proportional to 20,875.71, 31,317.48 and 8,396.70

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Solution

The fourth proportional to 20,875.71, 31,317.48 and 8,396.70 is: 12,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.71 : 31,317.48 = 8,396.70 : x
  2. Step 2: Convert to fraction form
    20,875.71/31,317.48 = 8,396.70/x
  3. Step 3: Cross multiply
    20,875.71x = 31,317.48 × 8,396.70
  4. Step 4: Simplify right side
    20,875.71x = 262,963,484.32
  5. Step 5: Solve for x
    x = 262,963,484.32/20,875.71
  6. Step 6: Final answer
    x = 12,596.62

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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.