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Finding the Fourth Proportional to 14,232.50, 21,351.04 and 5,348.52

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Solution

The fourth proportional to 14,232.50, 21,351.04 and 5,348.52 is: 8,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.50 : 21,351.04 = 5,348.52 : x
  2. Step 2: Convert to fraction form
    14,232.50/21,351.04 = 5,348.52/x
  3. Step 3: Cross multiply
    14,232.50x = 21,351.04 × 5,348.52
  4. Step 4: Simplify right side
    14,232.50x = 114,196,464.46
  5. Step 5: Solve for x
    x = 114,196,464.46/14,232.50
  6. Step 6: Final answer
    x = 8,023.64

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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.