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Finding the Fourth Proportional to 12,259.28, 16,916.48 and 6,954

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Solution

The fourth proportional to 12,259.28, 16,916.48 and 6,954 is: 9,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.28 : 16,916.48 = 6,954 : x
  2. Step 2: Convert to fraction form
    12,259.28/16,916.48 = 6,954/x
  3. Step 3: Cross multiply
    12,259.28x = 16,916.48 × 6,954
  4. Step 4: Simplify right side
    12,259.28x = 117,637,201.92
  5. Step 5: Solve for x
    x = 117,637,201.92/12,259.28
  6. Step 6: Final answer
    x = 9,595.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.