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Finding the Fourth Proportional to 14,857.71, 20,503.80 and 8,143.19

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Solution

The fourth proportional to 14,857.71, 20,503.80 and 8,143.19 is: 11,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.71 : 20,503.80 = 8,143.19 : x
  2. Step 2: Convert to fraction form
    14,857.71/20,503.80 = 8,143.19/x
  3. Step 3: Cross multiply
    14,857.71x = 20,503.80 × 8,143.19
  4. Step 4: Simplify right side
    14,857.71x = 166,966,206.07
  5. Step 5: Solve for x
    x = 166,966,206.07/14,857.71
  6. Step 6: Final answer
    x = 11,237.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.