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Finding the Fourth Proportional to 14,609.85, 21,897.47 and 6,705.71

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Solution

The fourth proportional to 14,609.85, 21,897.47 and 6,705.71 is: 10,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.85 : 21,897.47 = 6,705.71 : x
  2. Step 2: Convert to fraction form
    14,609.85/21,897.47 = 6,705.71/x
  3. Step 3: Cross multiply
    14,609.85x = 21,897.47 × 6,705.71
  4. Step 4: Simplify right side
    14,609.85x = 146,837,940.54
  5. Step 5: Solve for x
    x = 146,837,940.54/14,609.85
  6. Step 6: Final answer
    x = 10,050.61

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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.