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Finding the Fourth Proportional to 21,705.74, 32,533.40 and 9,994.36

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Solution

The fourth proportional to 21,705.74, 32,533.40 and 9,994.36 is: 14,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.74 : 32,533.40 = 9,994.36 : x
  2. Step 2: Convert to fraction form
    21,705.74/32,533.40 = 9,994.36/x
  3. Step 3: Cross multiply
    21,705.74x = 32,533.40 × 9,994.36
  4. Step 4: Simplify right side
    21,705.74x = 325,150,511.62
  5. Step 5: Solve for x
    x = 325,150,511.62/21,705.74
  6. Step 6: Final answer
    x = 14,979.93

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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.