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Finding the Fourth Proportional to 12,683.70, 19,042.65 and 7,424.10

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Solution

The fourth proportional to 12,683.70, 19,042.65 and 7,424.10 is: 11,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 19,042.65 = 7,424.10 : x
  2. Step 2: Convert to fraction form
    12,683.70/19,042.65 = 7,424.10/x
  3. Step 3: Cross multiply
    12,683.70x = 19,042.65 × 7,424.10
  4. Step 4: Simplify right side
    12,683.70x = 141,374,537.87
  5. Step 5: Solve for x
    x = 141,374,537.87/12,683.70
  6. Step 6: Final answer
    x = 11,146.16

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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.