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Finding the Fourth Proportional to 14,597.78, 20,140.76 and 8,222.14

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Solution

The fourth proportional to 14,597.78, 20,140.76 and 8,222.14 is: 11,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.78 : 20,140.76 = 8,222.14 : x
  2. Step 2: Convert to fraction form
    14,597.78/20,140.76 = 8,222.14/x
  3. Step 3: Cross multiply
    14,597.78x = 20,140.76 × 8,222.14
  4. Step 4: Simplify right side
    14,597.78x = 165,600,080.87
  5. Step 5: Solve for x
    x = 165,600,080.87/14,597.78
  6. Step 6: Final answer
    x = 11,344.20

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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.