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Finding the Fourth Proportional to 14,570.95, 20,107.69 and 8,197.06

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Solution

The fourth proportional to 14,570.95, 20,107.69 and 8,197.06 is: 11,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.95 : 20,107.69 = 8,197.06 : x
  2. Step 2: Convert to fraction form
    14,570.95/20,107.69 = 8,197.06/x
  3. Step 3: Cross multiply
    14,570.95x = 20,107.69 × 8,197.06
  4. Step 4: Simplify right side
    14,570.95x = 164,823,941.39
  5. Step 5: Solve for x
    x = 164,823,941.39/14,570.95
  6. Step 6: Final answer
    x = 11,311.82

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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.