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Finding the Fourth Proportional to 20,706.84, 31,073.63 and 9,618.75

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Solution

The fourth proportional to 20,706.84, 31,073.63 and 9,618.75 is: 14,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.84 : 31,073.63 = 9,618.75 : x
  2. Step 2: Convert to fraction form
    20,706.84/31,073.63 = 9,618.75/x
  3. Step 3: Cross multiply
    20,706.84x = 31,073.63 × 9,618.75
  4. Step 4: Simplify right side
    20,706.84x = 298,889,430.47
  5. Step 5: Solve for x
    x = 298,889,430.47/20,706.84
  6. Step 6: Final answer
    x = 14,434.33

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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.