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Finding the Fourth Proportional to 17,038.74, 23,513.49 and 9,963.86

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Solution

The fourth proportional to 17,038.74, 23,513.49 and 9,963.86 is: 13,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.74 : 23,513.49 = 9,963.86 : x
  2. Step 2: Convert to fraction form
    17,038.74/23,513.49 = 9,963.86/x
  3. Step 3: Cross multiply
    17,038.74x = 23,513.49 × 9,963.86
  4. Step 4: Simplify right side
    17,038.74x = 234,285,122.47
  5. Step 5: Solve for x
    x = 234,285,122.47/17,038.74
  6. Step 6: Final answer
    x = 13,750.14

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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.