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Finding the Fourth Proportional to 14,430.67, 21,649.25 and 5,071.33

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Solution

The fourth proportional to 14,430.67, 21,649.25 and 5,071.33 is: 7,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.67 : 21,649.25 = 5,071.33 : x
  2. Step 2: Convert to fraction form
    14,430.67/21,649.25 = 5,071.33/x
  3. Step 3: Cross multiply
    14,430.67x = 21,649.25 × 5,071.33
  4. Step 4: Simplify right side
    14,430.67x = 109,790,465.65
  5. Step 5: Solve for x
    x = 109,790,465.65/14,430.67
  6. Step 6: Final answer
    x = 7,608.14

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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.