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Finding the Fourth Proportional to 29,998.69, 45,005.32 and 9,222.19

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Solution

The fourth proportional to 29,998.69, 45,005.32 and 9,222.19 is: 13,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998.69 : 45,005.32 = 9,222.19 : x
  2. Step 2: Convert to fraction form
    29,998.69/45,005.32 = 9,222.19/x
  3. Step 3: Cross multiply
    29,998.69x = 45,005.32 × 9,222.19
  4. Step 4: Simplify right side
    29,998.69x = 415,047,511.07
  5. Step 5: Solve for x
    x = 415,047,511.07/29,998.69
  6. Step 6: Final answer
    x = 13,835.52

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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.