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Finding the Fourth Proportional to 14,563.52, 21,849.88 and 5,203.34

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Solution

The fourth proportional to 14,563.52, 21,849.88 and 5,203.34 is: 7,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.52 : 21,849.88 = 5,203.34 : x
  2. Step 2: Convert to fraction form
    14,563.52/21,849.88 = 5,203.34/x
  3. Step 3: Cross multiply
    14,563.52x = 21,849.88 × 5,203.34
  4. Step 4: Simplify right side
    14,563.52x = 113,692,354.60
  5. Step 5: Solve for x
    x = 113,692,354.60/14,563.52
  6. Step 6: Final answer
    x = 7,806.65

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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.