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Finding the Fourth Proportional to 12,259.96, 16,916.14 and 7,222.31

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Solution

The fourth proportional to 12,259.96, 16,916.14 and 7,222.31 is: 9,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.96 : 16,916.14 = 7,222.31 : x
  2. Step 2: Convert to fraction form
    12,259.96/16,916.14 = 7,222.31/x
  3. Step 3: Cross multiply
    12,259.96x = 16,916.14 × 7,222.31
  4. Step 4: Simplify right side
    12,259.96x = 122,173,690.12
  5. Step 5: Solve for x
    x = 122,173,690.12/12,259.96
  6. Step 6: Final answer
    x = 9,965.26

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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.