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Finding the Fourth Proportional to 13,718.52, 20,573.52 and 4,952.30

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Solution

The fourth proportional to 13,718.52, 20,573.52 and 4,952.30 is: 7,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.52 : 20,573.52 = 4,952.30 : x
  2. Step 2: Convert to fraction form
    13,718.52/20,573.52 = 4,952.30/x
  3. Step 3: Cross multiply
    13,718.52x = 20,573.52 × 4,952.30
  4. Step 4: Simplify right side
    13,718.52x = 101,886,140.23
  5. Step 5: Solve for x
    x = 101,886,140.23/13,718.52
  6. Step 6: Final answer
    x = 7,426.90

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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.