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Finding the Fourth Proportional to 14,539.54, 21,818.86 and 7,970.38

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Solution

The fourth proportional to 14,539.54, 21,818.86 and 7,970.38 is: 11,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.54 : 21,818.86 = 7,970.38 : x
  2. Step 2: Convert to fraction form
    14,539.54/21,818.86 = 7,970.38/x
  3. Step 3: Cross multiply
    14,539.54x = 21,818.86 × 7,970.38
  4. Step 4: Simplify right side
    14,539.54x = 173,904,605.37
  5. Step 5: Solve for x
    x = 173,904,605.37/14,539.54
  6. Step 6: Final answer
    x = 11,960.81

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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.