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Finding the Fourth Proportional to 14,689.23, 20,271.16 and 7,974.86

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Solution

The fourth proportional to 14,689.23, 20,271.16 and 7,974.86 is: 11,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.23 : 20,271.16 = 7,974.86 : x
  2. Step 2: Convert to fraction form
    14,689.23/20,271.16 = 7,974.86/x
  3. Step 3: Cross multiply
    14,689.23x = 20,271.16 × 7,974.86
  4. Step 4: Simplify right side
    14,689.23x = 161,659,623.16
  5. Step 5: Solve for x
    x = 161,659,623.16/14,689.23
  6. Step 6: Final answer
    x = 11,005.32

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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.