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Finding the Fourth Proportional to 17,886.62, 26,830.24 and 9,984.57

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Solution

The fourth proportional to 17,886.62, 26,830.24 and 9,984.57 is: 14,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.62 : 26,830.24 = 9,984.57 : x
  2. Step 2: Convert to fraction form
    17,886.62/26,830.24 = 9,984.57/x
  3. Step 3: Cross multiply
    17,886.62x = 26,830.24 × 9,984.57
  4. Step 4: Simplify right side
    17,886.62x = 267,888,283.82
  5. Step 5: Solve for x
    x = 267,888,283.82/17,886.62
  6. Step 6: Final answer
    x = 14,977.02

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Why These Related Problems?

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