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Finding the Fourth Proportional to 22,923.09, 34,384.93 and 7,340.71

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Solution

The fourth proportional to 22,923.09, 34,384.93 and 7,340.71 is: 11,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923.09 : 34,384.93 = 7,340.71 : x
  2. Step 2: Convert to fraction form
    22,923.09/34,384.93 = 7,340.71/x
  3. Step 3: Cross multiply
    22,923.09x = 34,384.93 × 7,340.71
  4. Step 4: Simplify right side
    22,923.09x = 252,409,799.50
  5. Step 5: Solve for x
    x = 252,409,799.50/22,923.09
  6. Step 6: Final answer
    x = 11,011.16

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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.