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Finding the Fourth Proportional to 20,315.07, 30,447.22 and 9,783.13

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Solution

The fourth proportional to 20,315.07, 30,447.22 and 9,783.13 is: 14,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.07 : 30,447.22 = 9,783.13 : x
  2. Step 2: Convert to fraction form
    20,315.07/30,447.22 = 9,783.13/x
  3. Step 3: Cross multiply
    20,315.07x = 30,447.22 × 9,783.13
  4. Step 4: Simplify right side
    20,315.07x = 297,869,111.40
  5. Step 5: Solve for x
    x = 297,869,111.40/20,315.07
  6. Step 6: Final answer
    x = 14,662.47

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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.