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Finding the Fourth Proportional to 13,012.55, 17,961.93 and 7,707.38

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Solution

The fourth proportional to 13,012.55, 17,961.93 and 7,707.38 is: 10,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.55 : 17,961.93 = 7,707.38 : x
  2. Step 2: Convert to fraction form
    13,012.55/17,961.93 = 7,707.38/x
  3. Step 3: Cross multiply
    13,012.55x = 17,961.93 × 7,707.38
  4. Step 4: Simplify right side
    13,012.55x = 138,439,420.04
  5. Step 5: Solve for x
    x = 138,439,420.04/13,012.55
  6. Step 6: Final answer
    x = 10,638.92

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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.