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Finding the Fourth Proportional to 13,014.51, 19,522.62 and 5,222.31

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Solution

The fourth proportional to 13,014.51, 19,522.62 and 5,222.31 is: 7,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.51 : 19,522.62 = 5,222.31 : x
  2. Step 2: Convert to fraction form
    13,014.51/19,522.62 = 5,222.31/x
  3. Step 3: Cross multiply
    13,014.51x = 19,522.62 × 5,222.31
  4. Step 4: Simplify right side
    13,014.51x = 101,953,173.65
  5. Step 5: Solve for x
    x = 101,953,173.65/13,014.51
  6. Step 6: Final answer
    x = 7,833.81

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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.