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Finding the Fourth Proportional to 13,788.32, 20,673.84 and 7,636.64

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Solution

The fourth proportional to 13,788.32, 20,673.84 and 7,636.64 is: 11,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.32 : 20,673.84 = 7,636.64 : x
  2. Step 2: Convert to fraction form
    13,788.32/20,673.84 = 7,636.64/x
  3. Step 3: Cross multiply
    13,788.32x = 20,673.84 × 7,636.64
  4. Step 4: Simplify right side
    13,788.32x = 157,878,673.50
  5. Step 5: Solve for x
    x = 157,878,673.50/13,788.32
  6. Step 6: Final answer
    x = 11,450.17

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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.