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Finding the Fourth Proportional to 16,662.96, 22,994.28 and 11,070

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Solution

The fourth proportional to 16,662.96, 22,994.28 and 11,070 is: 15,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.96 : 22,994.28 = 11,070 : x
  2. Step 2: Convert to fraction form
    16,662.96/22,994.28 = 11,070/x
  3. Step 3: Cross multiply
    16,662.96x = 22,994.28 × 11,070
  4. Step 4: Simplify right side
    16,662.96x = 254,546,679.60
  5. Step 5: Solve for x
    x = 254,546,679.60/16,662.96
  6. Step 6: Final answer
    x = 15,276.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.