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Finding the Fourth Proportional to 21,785, 32,677.50 and 5,369

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Solution

The fourth proportional to 21,785, 32,677.50 and 5,369 is: 8,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785 : 32,677.50 = 5,369 : x
  2. Step 2: Convert to fraction form
    21,785/32,677.50 = 5,369/x
  3. Step 3: Cross multiply
    21,785x = 32,677.50 × 5,369
  4. Step 4: Simplify right side
    21,785x = 175,445,497.50
  5. Step 5: Solve for x
    x = 175,445,497.50/21,785
  6. Step 6: Final answer
    x = 8,053.50

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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.