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Finding the Fourth Proportional to 20,783.84, 31,145.04 and 12,468.32

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Solution

The fourth proportional to 20,783.84, 31,145.04 and 12,468.32 is: 18,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.84 : 31,145.04 = 12,468.32 : x
  2. Step 2: Convert to fraction form
    20,783.84/31,145.04 = 12,468.32/x
  3. Step 3: Cross multiply
    20,783.84x = 31,145.04 × 12,468.32
  4. Step 4: Simplify right side
    20,783.84x = 388,326,325.13
  5. Step 5: Solve for x
    x = 388,326,325.13/20,783.84
  6. Step 6: Final answer
    x = 18,684.05

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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.