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Finding the Fourth Proportional to 12,950.76, 19,416.78 and 4,180.68

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Solution

The fourth proportional to 12,950.76, 19,416.78 and 4,180.68 is: 6,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.76 : 19,416.78 = 4,180.68 : x
  2. Step 2: Convert to fraction form
    12,950.76/19,416.78 = 4,180.68/x
  3. Step 3: Cross multiply
    12,950.76x = 19,416.78 × 4,180.68
  4. Step 4: Simplify right side
    12,950.76x = 81,175,343.81
  5. Step 5: Solve for x
    x = 81,175,343.81/12,950.76
  6. Step 6: Final answer
    x = 6,268.00

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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.