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Finding the Fourth Proportional to 17,594, 26,393.16 and 5,282

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Solution

The fourth proportional to 17,594, 26,393.16 and 5,282 is: 7,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594 : 26,393.16 = 5,282 : x
  2. Step 2: Convert to fraction form
    17,594/26,393.16 = 5,282/x
  3. Step 3: Cross multiply
    17,594x = 26,393.16 × 5,282
  4. Step 4: Simplify right side
    17,594x = 139,408,671.12
  5. Step 5: Solve for x
    x = 139,408,671.12/17,594
  6. Step 6: Final answer
    x = 7,923.65

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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.