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Finding the Fourth Proportional to 12,706.46, 17,536.55 and 7,673.52

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Solution

The fourth proportional to 12,706.46, 17,536.55 and 7,673.52 is: 10,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.46 : 17,536.55 = 7,673.52 : x
  2. Step 2: Convert to fraction form
    12,706.46/17,536.55 = 7,673.52/x
  3. Step 3: Cross multiply
    12,706.46x = 17,536.55 × 7,673.52
  4. Step 4: Simplify right side
    12,706.46x = 134,567,028.79
  5. Step 5: Solve for x
    x = 134,567,028.79/12,706.46
  6. Step 6: Final answer
    x = 10,590.45

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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.