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Finding the Fourth Proportional to 17,385.44, 26,038 and 10,444.64

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Solution

The fourth proportional to 17,385.44, 26,038 and 10,444.64 is: 15,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,385.44 : 26,038 = 10,444.64 : x
  2. Step 2: Convert to fraction form
    17,385.44/26,038 = 10,444.64/x
  3. Step 3: Cross multiply
    17,385.44x = 26,038 × 10,444.64
  4. Step 4: Simplify right side
    17,385.44x = 271,957,536.32
  5. Step 5: Solve for x
    x = 271,957,536.32/17,385.44
  6. Step 6: Final answer
    x = 15,642.83

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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.