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Finding the Fourth Proportional to 13,041, 19,564.22 and 4,275.22

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Solution

The fourth proportional to 13,041, 19,564.22 and 4,275.22 is: 6,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 19,564.22 = 4,275.22 : x
  2. Step 2: Convert to fraction form
    13,041/19,564.22 = 4,275.22/x
  3. Step 3: Cross multiply
    13,041x = 19,564.22 × 4,275.22
  4. Step 4: Simplify right side
    13,041x = 83,641,344.63
  5. Step 5: Solve for x
    x = 83,641,344.63/13,041
  6. Step 6: Final answer
    x = 6,413.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.