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Finding the Fourth Proportional to 19,602.76, 29,375.43 and 9,722.30

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Solution

The fourth proportional to 19,602.76, 29,375.43 and 9,722.30 is: 14,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.76 : 29,375.43 = 9,722.30 : x
  2. Step 2: Convert to fraction form
    19,602.76/29,375.43 = 9,722.30/x
  3. Step 3: Cross multiply
    19,602.76x = 29,375.43 × 9,722.30
  4. Step 4: Simplify right side
    19,602.76x = 285,596,767.92
  5. Step 5: Solve for x
    x = 285,596,767.92/19,602.76
  6. Step 6: Final answer
    x = 14,569.22

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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.