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Finding the Fourth Proportional to 17,671, 26,507.58 and 5,359

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Solution

The fourth proportional to 17,671, 26,507.58 and 5,359 is: 8,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671 : 26,507.58 = 5,359 : x
  2. Step 2: Convert to fraction form
    17,671/26,507.58 = 5,359/x
  3. Step 3: Cross multiply
    17,671x = 26,507.58 × 5,359
  4. Step 4: Simplify right side
    17,671x = 142,054,121.22
  5. Step 5: Solve for x
    x = 142,054,121.22/17,671
  6. Step 6: Final answer
    x = 8,038.83

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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.