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Finding the Fourth Proportional to 22,477.32, 33,714.36 and 9,993.60

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Solution

The fourth proportional to 22,477.32, 33,714.36 and 9,993.60 is: 14,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.32 : 33,714.36 = 9,993.60 : x
  2. Step 2: Convert to fraction form
    22,477.32/33,714.36 = 9,993.60/x
  3. Step 3: Cross multiply
    22,477.32x = 33,714.36 × 9,993.60
  4. Step 4: Simplify right side
    22,477.32x = 336,927,828.10
  5. Step 5: Solve for x
    x = 336,927,828.10/22,477.32
  6. Step 6: Final answer
    x = 14,989.68

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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.