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Finding the Fourth Proportional to 13,519.96, 18,657.54 and 7,854.95

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Solution

The fourth proportional to 13,519.96, 18,657.54 and 7,854.95 is: 10,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.96 : 18,657.54 = 7,854.95 : x
  2. Step 2: Convert to fraction form
    13,519.96/18,657.54 = 7,854.95/x
  3. Step 3: Cross multiply
    13,519.96x = 18,657.54 × 7,854.95
  4. Step 4: Simplify right side
    13,519.96x = 146,554,090.47
  5. Step 5: Solve for x
    x = 146,554,090.47/13,519.96
  6. Step 6: Final answer
    x = 10,839.83

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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.