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Finding the Fourth Proportional to 22,646.30, 33,960.94 and 7,851.65

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Solution

The fourth proportional to 22,646.30, 33,960.94 and 7,851.65 is: 11,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.30 : 33,960.94 = 7,851.65 : x
  2. Step 2: Convert to fraction form
    22,646.30/33,960.94 = 7,851.65/x
  3. Step 3: Cross multiply
    22,646.30x = 33,960.94 × 7,851.65
  4. Step 4: Simplify right side
    22,646.30x = 266,649,225.12
  5. Step 5: Solve for x
    x = 266,649,225.12/22,646.30
  6. Step 6: Final answer
    x = 11,774.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.