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Finding the Fourth Proportional to 14,180.06, 19,568.86 and 7,805.90

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Solution

The fourth proportional to 14,180.06, 19,568.86 and 7,805.90 is: 10,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.06 : 19,568.86 = 7,805.90 : x
  2. Step 2: Convert to fraction form
    14,180.06/19,568.86 = 7,805.90/x
  3. Step 3: Cross multiply
    14,180.06x = 19,568.86 × 7,805.90
  4. Step 4: Simplify right side
    14,180.06x = 152,752,564.27
  5. Step 5: Solve for x
    x = 152,752,564.27/14,180.06
  6. Step 6: Final answer
    x = 10,772.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.