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Finding the Fourth Proportional to 12,747.94, 19,036.03 and 10,412.58

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Solution

The fourth proportional to 12,747.94, 19,036.03 and 10,412.58 is: 15,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.94 : 19,036.03 = 10,412.58 : x
  2. Step 2: Convert to fraction form
    12,747.94/19,036.03 = 10,412.58/x
  3. Step 3: Cross multiply
    12,747.94x = 19,036.03 × 10,412.58
  4. Step 4: Simplify right side
    12,747.94x = 198,214,185.26
  5. Step 5: Solve for x
    x = 198,214,185.26/12,747.94
  6. Step 6: Final answer
    x = 15,548.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.