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Finding the Fourth Proportional to 15,815.66, 21,824.75 and 8,741.63

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Solution

The fourth proportional to 15,815.66, 21,824.75 and 8,741.63 is: 12,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.66 : 21,824.75 = 8,741.63 : x
  2. Step 2: Convert to fraction form
    15,815.66/21,824.75 = 8,741.63/x
  3. Step 3: Cross multiply
    15,815.66x = 21,824.75 × 8,741.63
  4. Step 4: Simplify right side
    15,815.66x = 190,783,802.07
  5. Step 5: Solve for x
    x = 190,783,802.07/15,815.66
  6. Step 6: Final answer
    x = 12,062.97

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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.