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Finding the Fourth Proportional to 17,494.84, 24,142.80 and 10,042.84

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Solution

The fourth proportional to 17,494.84, 24,142.80 and 10,042.84 is: 13,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.84 : 24,142.80 = 10,042.84 : x
  2. Step 2: Convert to fraction form
    17,494.84/24,142.80 = 10,042.84/x
  3. Step 3: Cross multiply
    17,494.84x = 24,142.80 × 10,042.84
  4. Step 4: Simplify right side
    17,494.84x = 242,462,277.55
  5. Step 5: Solve for x
    x = 242,462,277.55/17,494.84
  6. Step 6: Final answer
    x = 13,859.07

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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.