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Finding the Fourth Proportional to 12,536.51, 17,300.81 and 6,871.78

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Solution

The fourth proportional to 12,536.51, 17,300.81 and 6,871.78 is: 9,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.51 : 17,300.81 = 6,871.78 : x
  2. Step 2: Convert to fraction form
    12,536.51/17,300.81 = 6,871.78/x
  3. Step 3: Cross multiply
    12,536.51x = 17,300.81 × 6,871.78
  4. Step 4: Simplify right side
    12,536.51x = 118,887,239.28
  5. Step 5: Solve for x
    x = 118,887,239.28/12,536.51
  6. Step 6: Final answer
    x = 9,483.28

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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.