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Finding the Fourth Proportional to 12,536.97, 17,301.23 and 6,871.60

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Solution

The fourth proportional to 12,536.97, 17,301.23 and 6,871.60 is: 9,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.97 : 17,301.23 = 6,871.60 : x
  2. Step 2: Convert to fraction form
    12,536.97/17,301.23 = 6,871.60/x
  3. Step 3: Cross multiply
    12,536.97x = 17,301.23 × 6,871.60
  4. Step 4: Simplify right side
    12,536.97x = 118,887,097.71
  5. Step 5: Solve for x
    x = 118,887,097.71/12,536.97
  6. Step 6: Final answer
    x = 9,482.92

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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.