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Finding the Fourth Proportional to 14,706.30, 20,305.26 and 9,048.63

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Solution

The fourth proportional to 14,706.30, 20,305.26 and 9,048.63 is: 12,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.30 : 20,305.26 = 9,048.63 : x
  2. Step 2: Convert to fraction form
    14,706.30/20,305.26 = 9,048.63/x
  3. Step 3: Cross multiply
    14,706.30x = 20,305.26 × 9,048.63
  4. Step 4: Simplify right side
    14,706.30x = 183,734,784.79
  5. Step 5: Solve for x
    x = 183,734,784.79/14,706.30
  6. Step 6: Final answer
    x = 12,493.61

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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.