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Finding the Fourth Proportional to 13,021.55, 17,969.22 and 7,643.25

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Solution

The fourth proportional to 13,021.55, 17,969.22 and 7,643.25 is: 10,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.55 : 17,969.22 = 7,643.25 : x
  2. Step 2: Convert to fraction form
    13,021.55/17,969.22 = 7,643.25/x
  3. Step 3: Cross multiply
    13,021.55x = 17,969.22 × 7,643.25
  4. Step 4: Simplify right side
    13,021.55x = 137,343,240.77
  5. Step 5: Solve for x
    x = 137,343,240.77/13,021.55
  6. Step 6: Final answer
    x = 10,547.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.