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Finding the Fourth Proportional to 34,963.84, 52,434.42 and 11,584

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Solution

The fourth proportional to 34,963.84, 52,434.42 and 11,584 is: 17,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,963.84 : 52,434.42 = 11,584 : x
  2. Step 2: Convert to fraction form
    34,963.84/52,434.42 = 11,584/x
  3. Step 3: Cross multiply
    34,963.84x = 52,434.42 × 11,584
  4. Step 4: Simplify right side
    34,963.84x = 607,400,321.28
  5. Step 5: Solve for x
    x = 607,400,321.28/34,963.84
  6. Step 6: Final answer
    x = 17,372.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.