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Finding the Fourth Proportional to 13,767.84, 20,645.28 and 6,370.08

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Solution

The fourth proportional to 13,767.84, 20,645.28 and 6,370.08 is: 9,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.84 : 20,645.28 = 6,370.08 : x
  2. Step 2: Convert to fraction form
    13,767.84/20,645.28 = 6,370.08/x
  3. Step 3: Cross multiply
    13,767.84x = 20,645.28 × 6,370.08
  4. Step 4: Simplify right side
    13,767.84x = 131,512,085.22
  5. Step 5: Solve for x
    x = 131,512,085.22/13,767.84
  6. Step 6: Final answer
    x = 9,552.12

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