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Finding the Fourth Proportional to 22,477.36, 33,714.76 and 6,894.96

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Solution

The fourth proportional to 22,477.36, 33,714.76 and 6,894.96 is: 10,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.36 : 33,714.76 = 6,894.96 : x
  2. Step 2: Convert to fraction form
    22,477.36/33,714.76 = 6,894.96/x
  3. Step 3: Cross multiply
    22,477.36x = 33,714.76 × 6,894.96
  4. Step 4: Simplify right side
    22,477.36x = 232,461,921.61
  5. Step 5: Solve for x
    x = 232,461,921.61/22,477.36
  6. Step 6: Final answer
    x = 10,342.05

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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.