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Finding the Fourth Proportional to 12,980.83, 19,506.43 and 7,062.09

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Solution

The fourth proportional to 12,980.83, 19,506.43 and 7,062.09 is: 10,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.83 : 19,506.43 = 7,062.09 : x
  2. Step 2: Convert to fraction form
    12,980.83/19,506.43 = 7,062.09/x
  3. Step 3: Cross multiply
    12,980.83x = 19,506.43 × 7,062.09
  4. Step 4: Simplify right side
    12,980.83x = 137,756,164.24
  5. Step 5: Solve for x
    x = 137,756,164.24/12,980.83
  6. Step 6: Final answer
    x = 10,612.28

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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.