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Finding the Fourth Proportional to 18,054.86, 24,914.58 and 10,097.66

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Solution

The fourth proportional to 18,054.86, 24,914.58 and 10,097.66 is: 13,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054.86 : 24,914.58 = 10,097.66 : x
  2. Step 2: Convert to fraction form
    18,054.86/24,914.58 = 10,097.66/x
  3. Step 3: Cross multiply
    18,054.86x = 24,914.58 × 10,097.66
  4. Step 4: Simplify right side
    18,054.86x = 251,578,957.88
  5. Step 5: Solve for x
    x = 251,578,957.88/18,054.86
  6. Step 6: Final answer
    x = 13,934.14

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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.