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Finding the Fourth Proportional to 14,928.68, 20,601.14 and 8,214.30

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Solution

The fourth proportional to 14,928.68, 20,601.14 and 8,214.30 is: 11,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928.68 : 20,601.14 = 8,214.30 : x
  2. Step 2: Convert to fraction form
    14,928.68/20,601.14 = 8,214.30/x
  3. Step 3: Cross multiply
    14,928.68x = 20,601.14 × 8,214.30
  4. Step 4: Simplify right side
    14,928.68x = 169,223,903.23
  5. Step 5: Solve for x
    x = 169,223,903.23/14,928.68
  6. Step 6: Final answer
    x = 11,335.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.