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Finding the Fourth Proportional to 14,146.10, 21,199.03 and 10,419.02

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Solution

The fourth proportional to 14,146.10, 21,199.03 and 10,419.02 is: 15,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.10 : 21,199.03 = 10,419.02 : x
  2. Step 2: Convert to fraction form
    14,146.10/21,199.03 = 10,419.02/x
  3. Step 3: Cross multiply
    14,146.10x = 21,199.03 × 10,419.02
  4. Step 4: Simplify right side
    14,146.10x = 220,873,117.55
  5. Step 5: Solve for x
    x = 220,873,117.55/14,146.10
  6. Step 6: Final answer
    x = 15,613.71

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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.