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Finding the Fourth Proportional to 14,804.76, 22,177.82 and 7,774.22

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Solution

The fourth proportional to 14,804.76, 22,177.82 and 7,774.22 is: 11,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.76 : 22,177.82 = 7,774.22 : x
  2. Step 2: Convert to fraction form
    14,804.76/22,177.82 = 7,774.22/x
  3. Step 3: Cross multiply
    14,804.76x = 22,177.82 × 7,774.22
  4. Step 4: Simplify right side
    14,804.76x = 172,415,251.80
  5. Step 5: Solve for x
    x = 172,415,251.80/14,804.76
  6. Step 6: Final answer
    x = 11,645.93

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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.