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Finding the Fourth Proportional to 17,434.44, 24,061.93 and 9,883.76

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Solution

The fourth proportional to 17,434.44, 24,061.93 and 9,883.76 is: 13,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.44 : 24,061.93 = 9,883.76 : x
  2. Step 2: Convert to fraction form
    17,434.44/24,061.93 = 9,883.76/x
  3. Step 3: Cross multiply
    17,434.44x = 24,061.93 × 9,883.76
  4. Step 4: Simplify right side
    17,434.44x = 237,822,196.24
  5. Step 5: Solve for x
    x = 237,822,196.24/17,434.44
  6. Step 6: Final answer
    x = 13,640.94

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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.