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Finding the Fourth Proportional to 14,078.07, 19,427.74 and 7,704.68

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Solution

The fourth proportional to 14,078.07, 19,427.74 and 7,704.68 is: 10,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.07 : 19,427.74 = 7,704.68 : x
  2. Step 2: Convert to fraction form
    14,078.07/19,427.74 = 7,704.68/x
  3. Step 3: Cross multiply
    14,078.07x = 19,427.74 × 7,704.68
  4. Step 4: Simplify right side
    14,078.07x = 149,684,406.25
  5. Step 5: Solve for x
    x = 149,684,406.25/14,078.07
  6. Step 6: Final answer
    x = 10,632.45

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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.