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Finding the Fourth Proportional to 14,796, 20,419.56 and 8,509.86

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Solution

The fourth proportional to 14,796, 20,419.56 and 8,509.86 is: 11,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796 : 20,419.56 = 8,509.86 : x
  2. Step 2: Convert to fraction form
    14,796/20,419.56 = 8,509.86/x
  3. Step 3: Cross multiply
    14,796x = 20,419.56 × 8,509.86
  4. Step 4: Simplify right side
    14,796x = 173,767,596.86
  5. Step 5: Solve for x
    x = 173,767,596.86/14,796
  6. Step 6: Final answer
    x = 11,744.23

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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.