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Finding the Fourth Proportional to 15,806.90, 21,814.16 and 9,092.53

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Solution

The fourth proportional to 15,806.90, 21,814.16 and 9,092.53 is: 12,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.90 : 21,814.16 = 9,092.53 : x
  2. Step 2: Convert to fraction form
    15,806.90/21,814.16 = 9,092.53/x
  3. Step 3: Cross multiply
    15,806.90x = 21,814.16 × 9,092.53
  4. Step 4: Simplify right side
    15,806.90x = 198,345,749.69
  5. Step 5: Solve for x
    x = 198,345,749.69/15,806.90
  6. Step 6: Final answer
    x = 12,548.05

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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.