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Finding the Fourth Proportional to 12,916.49, 19,374.63 and 8,553.47

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Solution

The fourth proportional to 12,916.49, 19,374.63 and 8,553.47 is: 12,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.49 : 19,374.63 = 8,553.47 : x
  2. Step 2: Convert to fraction form
    12,916.49/19,374.63 = 8,553.47/x
  3. Step 3: Cross multiply
    12,916.49x = 19,374.63 × 8,553.47
  4. Step 4: Simplify right side
    12,916.49x = 165,720,316.47
  5. Step 5: Solve for x
    x = 165,720,316.47/12,916.49
  6. Step 6: Final answer
    x = 12,830.14

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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.