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Finding the Fourth Proportional to 15,814.77, 21,824.24 and 8,741.13

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Solution

The fourth proportional to 15,814.77, 21,824.24 and 8,741.13 is: 12,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.77 : 21,824.24 = 8,741.13 : x
  2. Step 2: Convert to fraction form
    15,814.77/21,824.24 = 8,741.13/x
  3. Step 3: Cross multiply
    15,814.77x = 21,824.24 × 8,741.13
  4. Step 4: Simplify right side
    15,814.77x = 190,768,475.29
  5. Step 5: Solve for x
    x = 190,768,475.29/15,814.77
  6. Step 6: Final answer
    x = 12,062.68

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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.