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Finding the Fourth Proportional to 12,536.80, 17,301.18 and 6,871.93

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Solution

The fourth proportional to 12,536.80, 17,301.18 and 6,871.93 is: 9,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.80 : 17,301.18 = 6,871.93 : x
  2. Step 2: Convert to fraction form
    12,536.80/17,301.18 = 6,871.93/x
  3. Step 3: Cross multiply
    12,536.80x = 17,301.18 × 6,871.93
  4. Step 4: Simplify right side
    12,536.80x = 118,892,497.88
  5. Step 5: Solve for x
    x = 118,892,497.88/12,536.80
  6. Step 6: Final answer
    x = 9,483.48

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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.