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Finding the Fourth Proportional to 20,315.41, 30,476.93 and 9,222.88

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Solution

The fourth proportional to 20,315.41, 30,476.93 and 9,222.88 is: 13,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.41 : 30,476.93 = 9,222.88 : x
  2. Step 2: Convert to fraction form
    20,315.41/30,476.93 = 9,222.88/x
  3. Step 3: Cross multiply
    20,315.41x = 30,476.93 × 9,222.88
  4. Step 4: Simplify right side
    20,315.41x = 281,085,068.16
  5. Step 5: Solve for x
    x = 281,085,068.16/20,315.41
  6. Step 6: Final answer
    x = 13,836.05

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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.