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Finding the Fourth Proportional to 14,682.96, 20,254.32 and 9,648

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Solution

The fourth proportional to 14,682.96, 20,254.32 and 9,648 is: 13,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.96 : 20,254.32 = 9,648 : x
  2. Step 2: Convert to fraction form
    14,682.96/20,254.32 = 9,648/x
  3. Step 3: Cross multiply
    14,682.96x = 20,254.32 × 9,648
  4. Step 4: Simplify right side
    14,682.96x = 195,413,679.36
  5. Step 5: Solve for x
    x = 195,413,679.36/14,682.96
  6. Step 6: Final answer
    x = 13,308.88

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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.