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Finding the Fourth Proportional to 17,051.90, 25,584 and 8,735.84

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Solution

The fourth proportional to 17,051.90, 25,584 and 8,735.84 is: 13,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.90 : 25,584 = 8,735.84 : x
  2. Step 2: Convert to fraction form
    17,051.90/25,584 = 8,735.84/x
  3. Step 3: Cross multiply
    17,051.90x = 25,584 × 8,735.84
  4. Step 4: Simplify right side
    17,051.90x = 223,497,602.64
  5. Step 5: Solve for x
    x = 223,497,602.64/17,051.90
  6. Step 6: Final answer
    x = 13,106.91

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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.