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Finding the Fourth Proportional to 13,430.80, 20,146.20 and 9,725.20

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Solution

The fourth proportional to 13,430.80, 20,146.20 and 9,725.20 is: 14,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.80 : 20,146.20 = 9,725.20 : x
  2. Step 2: Convert to fraction form
    13,430.80/20,146.20 = 9,725.20/x
  3. Step 3: Cross multiply
    13,430.80x = 20,146.20 × 9,725.20
  4. Step 4: Simplify right side
    13,430.80x = 195,925,824.24
  5. Step 5: Solve for x
    x = 195,925,824.24/13,430.80
  6. Step 6: Final answer
    x = 14,587.80

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1.5x scale

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.