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Finding the Fourth Proportional to 17,776.40, 24,531.44 and 9,818.63

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Solution

The fourth proportional to 17,776.40, 24,531.44 and 9,818.63 is: 13,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.40 : 24,531.44 = 9,818.63 : x
  2. Step 2: Convert to fraction form
    17,776.40/24,531.44 = 9,818.63/x
  3. Step 3: Cross multiply
    17,776.40x = 24,531.44 × 9,818.63
  4. Step 4: Simplify right side
    17,776.40x = 240,864,960.98
  5. Step 5: Solve for x
    x = 240,864,960.98/17,776.40
  6. Step 6: Final answer
    x = 13,549.71

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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.