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Finding the Fourth Proportional to 14,903.59, 20,566.98 and 8,189.23

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Solution

The fourth proportional to 14,903.59, 20,566.98 and 8,189.23 is: 11,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.59 : 20,566.98 = 8,189.23 : x
  2. Step 2: Convert to fraction form
    14,903.59/20,566.98 = 8,189.23/x
  3. Step 3: Cross multiply
    14,903.59x = 20,566.98 × 8,189.23
  4. Step 4: Simplify right side
    14,903.59x = 168,427,729.63
  5. Step 5: Solve for x
    x = 168,427,729.63/14,903.59
  6. Step 6: Final answer
    x = 11,301.15

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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.