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Finding the Fourth Proportional to 12,636.24, 17,437.18 and 6,971.02

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Solution

The fourth proportional to 12,636.24, 17,437.18 and 6,971.02 is: 9,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.24 : 17,437.18 = 6,971.02 : x
  2. Step 2: Convert to fraction form
    12,636.24/17,437.18 = 6,971.02/x
  3. Step 3: Cross multiply
    12,636.24x = 17,437.18 × 6,971.02
  4. Step 4: Simplify right side
    12,636.24x = 121,554,930.52
  5. Step 5: Solve for x
    x = 121,554,930.52/12,636.24
  6. Step 6: Final answer
    x = 9,619.55

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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.