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Finding the Fourth Proportional to 17,954.58, 24,778.68 and 10,402.95

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Solution

The fourth proportional to 17,954.58, 24,778.68 and 10,402.95 is: 14,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.58 : 24,778.68 = 10,402.95 : x
  2. Step 2: Convert to fraction form
    17,954.58/24,778.68 = 10,402.95/x
  3. Step 3: Cross multiply
    17,954.58x = 24,778.68 × 10,402.95
  4. Step 4: Simplify right side
    17,954.58x = 257,771,369.11
  5. Step 5: Solve for x
    x = 257,771,369.11/17,954.58
  6. Step 6: Final answer
    x = 14,356.86

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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.