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Finding the Fourth Proportional to 12,894.81, 19,338.06 and 4,127.64

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Solution

The fourth proportional to 12,894.81, 19,338.06 and 4,127.64 is: 6,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.81 : 19,338.06 = 4,127.64 : x
  2. Step 2: Convert to fraction form
    12,894.81/19,338.06 = 4,127.64/x
  3. Step 3: Cross multiply
    12,894.81x = 19,338.06 × 4,127.64
  4. Step 4: Simplify right side
    12,894.81x = 79,820,549.98
  5. Step 5: Solve for x
    x = 79,820,549.98/12,894.81
  6. Step 6: Final answer
    x = 6,190.13

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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.