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Finding the Fourth Proportional to 14,180.16, 19,568.72 and 7,806.58

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Solution

The fourth proportional to 14,180.16, 19,568.72 and 7,806.58 is: 10,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.16 : 19,568.72 = 7,806.58 : x
  2. Step 2: Convert to fraction form
    14,180.16/19,568.72 = 7,806.58/x
  3. Step 3: Cross multiply
    14,180.16x = 19,568.72 × 7,806.58
  4. Step 4: Simplify right side
    14,180.16x = 152,764,778.18
  5. Step 5: Solve for x
    x = 152,764,778.18/14,180.16
  6. Step 6: Final answer
    x = 10,773.14

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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.