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Finding the Fourth Proportional to 20,054.49, 30,081.06 and 9,532.08

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Solution

The fourth proportional to 20,054.49, 30,081.06 and 9,532.08 is: 14,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.49 : 30,081.06 = 9,532.08 : x
  2. Step 2: Convert to fraction form
    20,054.49/30,081.06 = 9,532.08/x
  3. Step 3: Cross multiply
    20,054.49x = 30,081.06 × 9,532.08
  4. Step 4: Simplify right side
    20,054.49x = 286,735,070.40
  5. Step 5: Solve for x
    x = 286,735,070.40/20,054.49
  6. Step 6: Final answer
    x = 14,297.80

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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.