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Finding the Fourth Proportional to 22,879.53, 34,323.17 and 7,886.07

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Solution

The fourth proportional to 22,879.53, 34,323.17 and 7,886.07 is: 11,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.53 : 34,323.17 = 7,886.07 : x
  2. Step 2: Convert to fraction form
    22,879.53/34,323.17 = 7,886.07/x
  3. Step 3: Cross multiply
    22,879.53x = 34,323.17 × 7,886.07
  4. Step 4: Simplify right side
    22,879.53x = 270,674,881.81
  5. Step 5: Solve for x
    x = 270,674,881.81/22,879.53
  6. Step 6: Final answer
    x = 11,830.44

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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.