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Finding the Fourth Proportional to 13,492.68, 20,197.14 and 12,344.40

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Solution

The fourth proportional to 13,492.68, 20,197.14 and 12,344.40 is: 18,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.68 : 20,197.14 = 12,344.40 : x
  2. Step 2: Convert to fraction form
    13,492.68/20,197.14 = 12,344.40/x
  3. Step 3: Cross multiply
    13,492.68x = 20,197.14 × 12,344.40
  4. Step 4: Simplify right side
    13,492.68x = 249,321,575.02
  5. Step 5: Solve for x
    x = 249,321,575.02/13,492.68
  6. Step 6: Final answer
    x = 18,478.28

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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.