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Finding the Fourth Proportional to 22,881.26, 34,312.16 and 7,890.02

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Solution

The fourth proportional to 22,881.26, 34,312.16 and 7,890.02 is: 11,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.26 : 34,312.16 = 7,890.02 : x
  2. Step 2: Convert to fraction form
    22,881.26/34,312.16 = 7,890.02/x
  3. Step 3: Cross multiply
    22,881.26x = 34,312.16 × 7,890.02
  4. Step 4: Simplify right side
    22,881.26x = 270,723,628.64
  5. Step 5: Solve for x
    x = 270,723,628.64/22,881.26
  6. Step 6: Final answer
    x = 11,831.67

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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.