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Finding the Fourth Proportional to 12,925.44, 19,393.92 and 6,768

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Solution

The fourth proportional to 12,925.44, 19,393.92 and 6,768 is: 10,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.44 : 19,393.92 = 6,768 : x
  2. Step 2: Convert to fraction form
    12,925.44/19,393.92 = 6,768/x
  3. Step 3: Cross multiply
    12,925.44x = 19,393.92 × 6,768
  4. Step 4: Simplify right side
    12,925.44x = 131,258,050.56
  5. Step 5: Solve for x
    x = 131,258,050.56/12,925.44
  6. Step 6: Final answer
    x = 10,155.02

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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.