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Finding the Fourth Proportional to 17,746.21, 24,490.98 and 10,294.21

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Solution

The fourth proportional to 17,746.21, 24,490.98 and 10,294.21 is: 14,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.21 : 24,490.98 = 10,294.21 : x
  2. Step 2: Convert to fraction form
    17,746.21/24,490.98 = 10,294.21/x
  3. Step 3: Cross multiply
    17,746.21x = 24,490.98 × 10,294.21
  4. Step 4: Simplify right side
    17,746.21x = 252,115,291.23
  5. Step 5: Solve for x
    x = 252,115,291.23/17,746.21
  6. Step 6: Final answer
    x = 14,206.71

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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.