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Finding the Fourth Proportional to 19,670.32, 29,511.96 and 7,980.40

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Solution

The fourth proportional to 19,670.32, 29,511.96 and 7,980.40 is: 11,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.32 : 29,511.96 = 7,980.40 : x
  2. Step 2: Convert to fraction form
    19,670.32/29,511.96 = 7,980.40/x
  3. Step 3: Cross multiply
    19,670.32x = 29,511.96 × 7,980.40
  4. Step 4: Simplify right side
    19,670.32x = 235,517,245.58
  5. Step 5: Solve for x
    x = 235,517,245.58/19,670.32
  6. Step 6: Final answer
    x = 11,973.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.