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Finding the Fourth Proportional to 20,689.50, 31,009.94 and 9,572.70

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Solution

The fourth proportional to 20,689.50, 31,009.94 and 9,572.70 is: 14,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.50 : 31,009.94 = 9,572.70 : x
  2. Step 2: Convert to fraction form
    20,689.50/31,009.94 = 9,572.70/x
  3. Step 3: Cross multiply
    20,689.50x = 31,009.94 × 9,572.70
  4. Step 4: Simplify right side
    20,689.50x = 296,848,852.64
  5. Step 5: Solve for x
    x = 296,848,852.64/20,689.50
  6. Step 6: Final answer
    x = 14,347.80

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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.