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Finding the Fourth Proportional to 20,356.36, 30,538.90 and 6,316.08

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Solution

The fourth proportional to 20,356.36, 30,538.90 and 6,316.08 is: 9,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.36 : 30,538.90 = 6,316.08 : x
  2. Step 2: Convert to fraction form
    20,356.36/30,538.90 = 6,316.08/x
  3. Step 3: Cross multiply
    20,356.36x = 30,538.90 × 6,316.08
  4. Step 4: Simplify right side
    20,356.36x = 192,886,135.51
  5. Step 5: Solve for x
    x = 192,886,135.51/20,356.36
  6. Step 6: Final answer
    x = 9,475.47

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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.