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Finding the Fourth Proportional to 12,635.66, 17,437.28 and 6,970.61

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Solution

The fourth proportional to 12,635.66, 17,437.28 and 6,970.61 is: 9,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.66 : 17,437.28 = 6,970.61 : x
  2. Step 2: Convert to fraction form
    12,635.66/17,437.28 = 6,970.61/x
  3. Step 3: Cross multiply
    12,635.66x = 17,437.28 × 6,970.61
  4. Step 4: Simplify right side
    12,635.66x = 121,548,478.34
  5. Step 5: Solve for x
    x = 121,548,478.34/12,635.66
  6. Step 6: Final answer
    x = 9,619.48

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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.