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Finding the Fourth Proportional to 14,657.14, 20,229.24 and 10,905.22

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Solution

The fourth proportional to 14,657.14, 20,229.24 and 10,905.22 is: 15,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.14 : 20,229.24 = 10,905.22 : x
  2. Step 2: Convert to fraction form
    14,657.14/20,229.24 = 10,905.22/x
  3. Step 3: Cross multiply
    14,657.14x = 20,229.24 × 10,905.22
  4. Step 4: Simplify right side
    14,657.14x = 220,604,312.63
  5. Step 5: Solve for x
    x = 220,604,312.63/14,657.14
  6. Step 6: Final answer
    x = 15,050.98

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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.