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Finding the Fourth Proportional to 15,144.88, 20,899.70 and 8,430.50

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Solution

The fourth proportional to 15,144.88, 20,899.70 and 8,430.50 is: 11,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.88 : 20,899.70 = 8,430.50 : x
  2. Step 2: Convert to fraction form
    15,144.88/20,899.70 = 8,430.50/x
  3. Step 3: Cross multiply
    15,144.88x = 20,899.70 × 8,430.50
  4. Step 4: Simplify right side
    15,144.88x = 176,194,837.43
  5. Step 5: Solve for x
    x = 176,194,837.43/15,144.88
  6. Step 6: Final answer
    x = 11,633.96

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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.