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Finding the Fourth Proportional to 12,706.07, 17,534.42 and 7,041.74

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Solution

The fourth proportional to 12,706.07, 17,534.42 and 7,041.74 is: 9,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.07 : 17,534.42 = 7,041.74 : x
  2. Step 2: Convert to fraction form
    12,706.07/17,534.42 = 7,041.74/x
  3. Step 3: Cross multiply
    12,706.07x = 17,534.42 × 7,041.74
  4. Step 4: Simplify right side
    12,706.07x = 123,472,769.83
  5. Step 5: Solve for x
    x = 123,472,769.83/12,706.07
  6. Step 6: Final answer
    x = 9,717.62

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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.