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Finding the Fourth Proportional to 12,705.33, 19,039.83 and 7,147.02

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Solution

The fourth proportional to 12,705.33, 19,039.83 and 7,147.02 is: 10,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.33 : 19,039.83 = 7,147.02 : x
  2. Step 2: Convert to fraction form
    12,705.33/19,039.83 = 7,147.02/x
  3. Step 3: Cross multiply
    12,705.33x = 19,039.83 × 7,147.02
  4. Step 4: Simplify right side
    12,705.33x = 136,078,045.81
  5. Step 5: Solve for x
    x = 136,078,045.81/12,705.33
  6. Step 6: Final answer
    x = 10,710.31

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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.