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Finding the Fourth Proportional to 12,886.49, 19,312.43 and 5,488.97

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Solution

The fourth proportional to 12,886.49, 19,312.43 and 5,488.97 is: 8,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.49 : 19,312.43 = 5,488.97 : x
  2. Step 2: Convert to fraction form
    12,886.49/19,312.43 = 5,488.97/x
  3. Step 3: Cross multiply
    12,886.49x = 19,312.43 × 5,488.97
  4. Step 4: Simplify right side
    12,886.49x = 106,005,224.89
  5. Step 5: Solve for x
    x = 106,005,224.89/12,886.49
  6. Step 6: Final answer
    x = 8,226.07

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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.