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Finding the Fourth Proportional to 20,705.70, 31,054.20 and 6,666.98

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Solution

The fourth proportional to 20,705.70, 31,054.20 and 6,666.98 is: 9,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.70 : 31,054.20 = 6,666.98 : x
  2. Step 2: Convert to fraction form
    20,705.70/31,054.20 = 6,666.98/x
  3. Step 3: Cross multiply
    20,705.70x = 31,054.20 × 6,666.98
  4. Step 4: Simplify right side
    20,705.70x = 207,037,730.32
  5. Step 5: Solve for x
    x = 207,037,730.32/20,705.70
  6. Step 6: Final answer
    x = 9,999.07

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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.