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Finding the Fourth Proportional to 14,570.53, 20,107.31 and 8,197.13

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Solution

The fourth proportional to 14,570.53, 20,107.31 and 8,197.13 is: 11,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.53 : 20,107.31 = 8,197.13 : x
  2. Step 2: Convert to fraction form
    14,570.53/20,107.31 = 8,197.13/x
  3. Step 3: Cross multiply
    14,570.53x = 20,107.31 × 8,197.13
  4. Step 4: Simplify right side
    14,570.53x = 164,822,142.77
  5. Step 5: Solve for x
    x = 164,822,142.77/14,570.53
  6. Step 6: Final answer
    x = 11,312.02

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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.