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Finding the Fourth Proportional to 14,785.56, 20,385.92 and 9,186.84

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Solution

The fourth proportional to 14,785.56, 20,385.92 and 9,186.84 is: 12,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.56 : 20,385.92 = 9,186.84 : x
  2. Step 2: Convert to fraction form
    14,785.56/20,385.92 = 9,186.84/x
  3. Step 3: Cross multiply
    14,785.56x = 20,385.92 × 9,186.84
  4. Step 4: Simplify right side
    14,785.56x = 187,282,185.29
  5. Step 5: Solve for x
    x = 187,282,185.29/14,785.56
  6. Step 6: Final answer
    x = 12,666.56

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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.