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Finding the Fourth Proportional to 20,047.86, 30,071.16 and 9,525.45

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Solution

The fourth proportional to 20,047.86, 30,071.16 and 9,525.45 is: 14,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.86 : 30,071.16 = 9,525.45 : x
  2. Step 2: Convert to fraction form
    20,047.86/30,071.16 = 9,525.45/x
  3. Step 3: Cross multiply
    20,047.86x = 30,071.16 × 9,525.45
  4. Step 4: Simplify right side
    20,047.86x = 286,441,331.02
  5. Step 5: Solve for x
    x = 286,441,331.02/20,047.86
  6. Step 6: Final answer
    x = 14,287.88

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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.