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Finding the Fourth Proportional to 15,117.94, 20,855.49 and 9,814.42

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Solution

The fourth proportional to 15,117.94, 20,855.49 and 9,814.42 is: 13,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.94 : 20,855.49 = 9,814.42 : x
  2. Step 2: Convert to fraction form
    15,117.94/20,855.49 = 9,814.42/x
  3. Step 3: Cross multiply
    15,117.94x = 20,855.49 × 9,814.42
  4. Step 4: Simplify right side
    15,117.94x = 204,684,538.17
  5. Step 5: Solve for x
    x = 204,684,538.17/15,117.94
  6. Step 6: Final answer
    x = 13,539.18

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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.