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Finding the Fourth Proportional to 12,706.74, 17,536.23 and 7,401.78

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Solution

The fourth proportional to 12,706.74, 17,536.23 and 7,401.78 is: 10,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.74 : 17,536.23 = 7,401.78 : x
  2. Step 2: Convert to fraction form
    12,706.74/17,536.23 = 7,401.78/x
  3. Step 3: Cross multiply
    12,706.74x = 17,536.23 × 7,401.78
  4. Step 4: Simplify right side
    12,706.74x = 129,799,316.49
  5. Step 5: Solve for x
    x = 129,799,316.49/12,706.74
  6. Step 6: Final answer
    x = 10,215.00

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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.