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Finding the Fourth Proportional to 13,223.26, 19,808.97 and 5,810.14

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Solution

The fourth proportional to 13,223.26, 19,808.97 and 5,810.14 is: 8,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.26 : 19,808.97 = 5,810.14 : x
  2. Step 2: Convert to fraction form
    13,223.26/19,808.97 = 5,810.14/x
  3. Step 3: Cross multiply
    13,223.26x = 19,808.97 × 5,810.14
  4. Step 4: Simplify right side
    13,223.26x = 115,092,888.96
  5. Step 5: Solve for x
    x = 115,092,888.96/13,223.26
  6. Step 6: Final answer
    x = 8,703.82

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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.