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Finding the Fourth Proportional to 22,035.71, 30,409.29 and 11,964.14

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Solution

The fourth proportional to 22,035.71, 30,409.29 and 11,964.14 is: 16,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.71 : 30,409.29 = 11,964.14 : x
  2. Step 2: Convert to fraction form
    22,035.71/30,409.29 = 11,964.14/x
  3. Step 3: Cross multiply
    22,035.71x = 30,409.29 × 11,964.14
  4. Step 4: Simplify right side
    22,035.71x = 363,821,002.86
  5. Step 5: Solve for x
    x = 363,821,002.86/22,035.71
  6. Step 6: Final answer
    x = 16,510.52

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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.