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Finding the Fourth Proportional to 14,826.63, 20,465.97 and 9,165.72

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Solution

The fourth proportional to 14,826.63, 20,465.97 and 9,165.72 is: 12,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.63 : 20,465.97 = 9,165.72 : x
  2. Step 2: Convert to fraction form
    14,826.63/20,465.97 = 9,165.72/x
  3. Step 3: Cross multiply
    14,826.63x = 20,465.97 × 9,165.72
  4. Step 4: Simplify right side
    14,826.63x = 187,585,392.92
  5. Step 5: Solve for x
    x = 187,585,392.92/14,826.63
  6. Step 6: Final answer
    x = 12,651.92

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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.