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Finding the Fourth Proportional to 14,435.18, 21,651.35 and 9,785.06

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Solution

The fourth proportional to 14,435.18, 21,651.35 and 9,785.06 is: 14,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.18 : 21,651.35 = 9,785.06 : x
  2. Step 2: Convert to fraction form
    14,435.18/21,651.35 = 9,785.06/x
  3. Step 3: Cross multiply
    14,435.18x = 21,651.35 × 9,785.06
  4. Step 4: Simplify right side
    14,435.18x = 211,859,601.65
  5. Step 5: Solve for x
    x = 211,859,601.65/14,435.18
  6. Step 6: Final answer
    x = 14,676.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.