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Finding the Fourth Proportional to 14,844, 22,233.64 and 7,435.54

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Solution

The fourth proportional to 14,844, 22,233.64 and 7,435.54 is: 11,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844 : 22,233.64 = 7,435.54 : x
  2. Step 2: Convert to fraction form
    14,844/22,233.64 = 7,435.54/x
  3. Step 3: Cross multiply
    14,844x = 22,233.64 × 7,435.54
  4. Step 4: Simplify right side
    14,844x = 165,319,119.57
  5. Step 5: Solve for x
    x = 165,319,119.57/14,844
  6. Step 6: Final answer
    x = 11,137.10

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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.