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Finding the Fourth Proportional to 22,005.14, 32,994.52 and 7,005.78

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Solution

The fourth proportional to 22,005.14, 32,994.52 and 7,005.78 is: 10,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.14 : 32,994.52 = 7,005.78 : x
  2. Step 2: Convert to fraction form
    22,005.14/32,994.52 = 7,005.78/x
  3. Step 3: Cross multiply
    22,005.14x = 32,994.52 × 7,005.78
  4. Step 4: Simplify right side
    22,005.14x = 231,152,148.32
  5. Step 5: Solve for x
    x = 231,152,148.32/22,005.14
  6. Step 6: Final answer
    x = 10,504.46

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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.