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Finding the Fourth Proportional to 17,038.50, 23,509.54 and 9,963.56

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Solution

The fourth proportional to 17,038.50, 23,509.54 and 9,963.56 is: 13,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.50 : 23,509.54 = 9,963.56 : x
  2. Step 2: Convert to fraction form
    17,038.50/23,509.54 = 9,963.56/x
  3. Step 3: Cross multiply
    17,038.50x = 23,509.54 × 9,963.56
  4. Step 4: Simplify right side
    17,038.50x = 234,238,712.36
  5. Step 5: Solve for x
    x = 234,238,712.36/17,038.50
  6. Step 6: Final answer
    x = 13,747.61

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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.