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Finding the Fourth Proportional to 12,701.62, 17,525.97 and 7,111.54

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Solution

The fourth proportional to 12,701.62, 17,525.97 and 7,111.54 is: 9,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.62 : 17,525.97 = 7,111.54 : x
  2. Step 2: Convert to fraction form
    12,701.62/17,525.97 = 7,111.54/x
  3. Step 3: Cross multiply
    12,701.62x = 17,525.97 × 7,111.54
  4. Step 4: Simplify right side
    12,701.62x = 124,636,636.69
  5. Step 5: Solve for x
    x = 124,636,636.69/12,701.62
  6. Step 6: Final answer
    x = 9,812.66

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