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Finding the Fourth Proportional to 12,767.36, 19,157.94 and 5,376.96

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Solution

The fourth proportional to 12,767.36, 19,157.94 and 5,376.96 is: 8,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.36 : 19,157.94 = 5,376.96 : x
  2. Step 2: Convert to fraction form
    12,767.36/19,157.94 = 5,376.96/x
  3. Step 3: Cross multiply
    12,767.36x = 19,157.94 × 5,376.96
  4. Step 4: Simplify right side
    12,767.36x = 103,011,477.06
  5. Step 5: Solve for x
    x = 103,011,477.06/12,767.36
  6. Step 6: Final answer
    x = 8,068.35

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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.