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Finding the Fourth Proportional to 13,211.60, 19,974.14 and 13,211.60

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Solution

The fourth proportional to 13,211.60, 19,974.14 and 13,211.60 is: 19,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.60 : 19,974.14 = 13,211.60 : x
  2. Step 2: Convert to fraction form
    13,211.60/19,974.14 = 13,211.60/x
  3. Step 3: Cross multiply
    13,211.60x = 19,974.14 × 13,211.60
  4. Step 4: Simplify right side
    13,211.60x = 263,890,348.02
  5. Step 5: Solve for x
    x = 263,890,348.02/13,211.60
  6. Step 6: Final answer
    x = 19,974.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.