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Finding the Fourth Proportional to 17,774.68, 26,656.44 and 7,384

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Solution

The fourth proportional to 17,774.68, 26,656.44 and 7,384 is: 11,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.68 : 26,656.44 = 7,384 : x
  2. Step 2: Convert to fraction form
    17,774.68/26,656.44 = 7,384/x
  3. Step 3: Cross multiply
    17,774.68x = 26,656.44 × 7,384
  4. Step 4: Simplify right side
    17,774.68x = 196,831,152.96
  5. Step 5: Solve for x
    x = 196,831,152.96/17,774.68
  6. Step 6: Final answer
    x = 11,073.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.