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Finding the Fourth Proportional to 14,974.86, 20,665.26 and 9,009.98

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Solution

The fourth proportional to 14,974.86, 20,665.26 and 9,009.98 is: 12,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.86 : 20,665.26 = 9,009.98 : x
  2. Step 2: Convert to fraction form
    14,974.86/20,665.26 = 9,009.98/x
  3. Step 3: Cross multiply
    14,974.86x = 20,665.26 × 9,009.98
  4. Step 4: Simplify right side
    14,974.86x = 186,193,579.29
  5. Step 5: Solve for x
    x = 186,193,579.29/14,974.86
  6. Step 6: Final answer
    x = 12,433.74

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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.