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Finding the Fourth Proportional to 20,482.77, 30,730.24 and 6,444.74

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Solution

The fourth proportional to 20,482.77, 30,730.24 and 6,444.74 is: 9,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.77 : 30,730.24 = 6,444.74 : x
  2. Step 2: Convert to fraction form
    20,482.77/30,730.24 = 6,444.74/x
  3. Step 3: Cross multiply
    20,482.77x = 30,730.24 × 6,444.74
  4. Step 4: Simplify right side
    20,482.77x = 198,048,369.14
  5. Step 5: Solve for x
    x = 198,048,369.14/20,482.77
  6. Step 6: Final answer
    x = 9,669.02

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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.