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Finding the Fourth Proportional to 13,356.50, 20,038 and 4,122.50

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Solution

The fourth proportional to 13,356.50, 20,038 and 4,122.50 is: 6,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.50 : 20,038 = 4,122.50 : x
  2. Step 2: Convert to fraction form
    13,356.50/20,038 = 4,122.50/x
  3. Step 3: Cross multiply
    13,356.50x = 20,038 × 4,122.50
  4. Step 4: Simplify right side
    13,356.50x = 82,606,655
  5. Step 5: Solve for x
    x = 82,606,655/13,356.50
  6. Step 6: Final answer
    x = 6,184.75

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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.