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Finding the Fourth Proportional to 22,707.02, 34,031.70 and 10,213.70

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Solution

The fourth proportional to 22,707.02, 34,031.70 and 10,213.70 is: 15,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.02 : 34,031.70 = 10,213.70 : x
  2. Step 2: Convert to fraction form
    22,707.02/34,031.70 = 10,213.70/x
  3. Step 3: Cross multiply
    22,707.02x = 34,031.70 × 10,213.70
  4. Step 4: Simplify right side
    22,707.02x = 347,589,574.29
  5. Step 5: Solve for x
    x = 347,589,574.29/22,707.02
  6. Step 6: Final answer
    x = 15,307.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.