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Finding the Fourth Proportional to 13,419.40, 20,109.30 and 9,729.40

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Solution

The fourth proportional to 13,419.40, 20,109.30 and 9,729.40 is: 14,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.40 : 20,109.30 = 9,729.40 : x
  2. Step 2: Convert to fraction form
    13,419.40/20,109.30 = 9,729.40/x
  3. Step 3: Cross multiply
    13,419.40x = 20,109.30 × 9,729.40
  4. Step 4: Simplify right side
    13,419.40x = 195,651,423.42
  5. Step 5: Solve for x
    x = 195,651,423.42/13,419.40
  6. Step 6: Final answer
    x = 14,579.74

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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.