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Finding the Fourth Proportional to 20,054.64, 30,091.68 and 9,523.02

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Solution

The fourth proportional to 20,054.64, 30,091.68 and 9,523.02 is: 14,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.64 : 30,091.68 = 9,523.02 : x
  2. Step 2: Convert to fraction form
    20,054.64/30,091.68 = 9,523.02/x
  3. Step 3: Cross multiply
    20,054.64x = 30,091.68 × 9,523.02
  4. Step 4: Simplify right side
    20,054.64x = 286,563,670.47
  5. Step 5: Solve for x
    x = 286,563,670.47/20,054.64
  6. Step 6: Final answer
    x = 14,289.15

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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.