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Finding the Fourth Proportional to 12,982.40, 19,473.60 and 12,809.60

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Solution

The fourth proportional to 12,982.40, 19,473.60 and 12,809.60 is: 19,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.40 : 19,473.60 = 12,809.60 : x
  2. Step 2: Convert to fraction form
    12,982.40/19,473.60 = 12,809.60/x
  3. Step 3: Cross multiply
    12,982.40x = 19,473.60 × 12,809.60
  4. Step 4: Simplify right side
    12,982.40x = 249,449,026.56
  5. Step 5: Solve for x
    x = 249,449,026.56/12,982.40
  6. Step 6: Final answer
    x = 19,214.40

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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.