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Finding the Fourth Proportional to 13,398.40, 20,059.20 and 8,214.40

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Solution

The fourth proportional to 13,398.40, 20,059.20 and 8,214.40 is: 12,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.40 : 20,059.20 = 8,214.40 : x
  2. Step 2: Convert to fraction form
    13,398.40/20,059.20 = 8,214.40/x
  3. Step 3: Cross multiply
    13,398.40x = 20,059.20 × 8,214.40
  4. Step 4: Simplify right side
    13,398.40x = 164,774,292.48
  5. Step 5: Solve for x
    x = 164,774,292.48/13,398.40
  6. Step 6: Final answer
    x = 12,298.06

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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.