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Finding the Fourth Proportional to 22,953.11, 34,429.67 and 7,381.67

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Solution

The fourth proportional to 22,953.11, 34,429.67 and 7,381.67 is: 11,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.11 : 34,429.67 = 7,381.67 : x
  2. Step 2: Convert to fraction form
    22,953.11/34,429.67 = 7,381.67/x
  3. Step 3: Cross multiply
    22,953.11x = 34,429.67 × 7,381.67
  4. Step 4: Simplify right side
    22,953.11x = 254,148,253.09
  5. Step 5: Solve for x
    x = 254,148,253.09/22,953.11
  6. Step 6: Final answer
    x = 11,072.50

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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.