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Finding the Fourth Proportional to 17,537.58, 26,276.61 and 10,597.50

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Solution

The fourth proportional to 17,537.58, 26,276.61 and 10,597.50 is: 15,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.58 : 26,276.61 = 10,597.50 : x
  2. Step 2: Convert to fraction form
    17,537.58/26,276.61 = 10,597.50/x
  3. Step 3: Cross multiply
    17,537.58x = 26,276.61 × 10,597.50
  4. Step 4: Simplify right side
    17,537.58x = 278,466,374.48
  5. Step 5: Solve for x
    x = 278,466,374.48/17,537.58
  6. Step 6: Final answer
    x = 15,878.27

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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.