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Finding the Fourth Proportional to 22,696.86, 34,045.86 and 6,056.84

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Solution

The fourth proportional to 22,696.86, 34,045.86 and 6,056.84 is: 9,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.86 : 34,045.86 = 6,056.84 : x
  2. Step 2: Convert to fraction form
    22,696.86/34,045.86 = 6,056.84/x
  3. Step 3: Cross multiply
    22,696.86x = 34,045.86 × 6,056.84
  4. Step 4: Simplify right side
    22,696.86x = 206,210,326.68
  5. Step 5: Solve for x
    x = 206,210,326.68/22,696.86
  6. Step 6: Final answer
    x = 9,085.41

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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.