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Finding the Fourth Proportional to 12,916.50, 19,374.62 and 8,553.48

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Solution

The fourth proportional to 12,916.50, 19,374.62 and 8,553.48 is: 12,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.50 : 19,374.62 = 8,553.48 : x
  2. Step 2: Convert to fraction form
    12,916.50/19,374.62 = 8,553.48/x
  3. Step 3: Cross multiply
    12,916.50x = 19,374.62 × 8,553.48
  4. Step 4: Simplify right side
    12,916.50x = 165,720,424.68
  5. Step 5: Solve for x
    x = 165,720,424.68/12,916.50
  6. Step 6: Final answer
    x = 12,830.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.