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Finding the Fourth Proportional to 13,653.47, 18,841.82 and 7,685.22

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Solution

The fourth proportional to 13,653.47, 18,841.82 and 7,685.22 is: 10,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.47 : 18,841.82 = 7,685.22 : x
  2. Step 2: Convert to fraction form
    13,653.47/18,841.82 = 7,685.22/x
  3. Step 3: Cross multiply
    13,653.47x = 18,841.82 × 7,685.22
  4. Step 4: Simplify right side
    13,653.47x = 144,803,493.47
  5. Step 5: Solve for x
    x = 144,803,493.47/13,653.47
  6. Step 6: Final answer
    x = 10,605.62

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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.