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Finding the Fourth Proportional to 12,635.64, 17,437.20 and 6,970.26

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Solution

The fourth proportional to 12,635.64, 17,437.20 and 6,970.26 is: 9,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.64 : 17,437.20 = 6,970.26 : x
  2. Step 2: Convert to fraction form
    12,635.64/17,437.20 = 6,970.26/x
  3. Step 3: Cross multiply
    12,635.64x = 17,437.20 × 6,970.26
  4. Step 4: Simplify right side
    12,635.64x = 121,541,817.67
  5. Step 5: Solve for x
    x = 121,541,817.67/12,635.64
  6. Step 6: Final answer
    x = 9,618.97

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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.