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Finding the Fourth Proportional to 14,522.76, 20,047.52 and 9,813.42

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Solution

The fourth proportional to 14,522.76, 20,047.52 and 9,813.42 is: 13,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.76 : 20,047.52 = 9,813.42 : x
  2. Step 2: Convert to fraction form
    14,522.76/20,047.52 = 9,813.42/x
  3. Step 3: Cross multiply
    14,522.76x = 20,047.52 × 9,813.42
  4. Step 4: Simplify right side
    14,522.76x = 196,734,684.65
  5. Step 5: Solve for x
    x = 196,734,684.65/14,522.76
  6. Step 6: Final answer
    x = 13,546.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.