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Finding the Fourth Proportional to 13,641.66, 18,743.91 and 10,842.30

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Solution

The fourth proportional to 13,641.66, 18,743.91 and 10,842.30 is: 14,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.66 : 18,743.91 = 10,842.30 : x
  2. Step 2: Convert to fraction form
    13,641.66/18,743.91 = 10,842.30/x
  3. Step 3: Cross multiply
    13,641.66x = 18,743.91 × 10,842.30
  4. Step 4: Simplify right side
    13,641.66x = 203,227,095.39
  5. Step 5: Solve for x
    x = 203,227,095.39/13,641.66
  6. Step 6: Final answer
    x = 14,897.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.