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Finding the Fourth Proportional to 17,056.82, 23,538.38 and 9,984.58

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Solution

The fourth proportional to 17,056.82, 23,538.38 and 9,984.58 is: 13,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.82 : 23,538.38 = 9,984.58 : x
  2. Step 2: Convert to fraction form
    17,056.82/23,538.38 = 9,984.58/x
  3. Step 3: Cross multiply
    17,056.82x = 23,538.38 × 9,984.58
  4. Step 4: Simplify right side
    17,056.82x = 235,020,838.18
  5. Step 5: Solve for x
    x = 235,020,838.18/17,056.82
  6. Step 6: Final answer
    x = 13,778.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.