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Finding the Fourth Proportional to 20,448.95, 30,678.02 and 7,122.56

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Solution

The fourth proportional to 20,448.95, 30,678.02 and 7,122.56 is: 10,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.95 : 30,678.02 = 7,122.56 : x
  2. Step 2: Convert to fraction form
    20,448.95/30,678.02 = 7,122.56/x
  3. Step 3: Cross multiply
    20,448.95x = 30,678.02 × 7,122.56
  4. Step 4: Simplify right side
    20,448.95x = 218,506,038.13
  5. Step 5: Solve for x
    x = 218,506,038.13/20,448.95
  6. Step 6: Final answer
    x = 10,685.44

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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.