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Finding the Fourth Proportional to 20,152.84, 30,242.70 and 7,684.36

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Solution

The fourth proportional to 20,152.84, 30,242.70 and 7,684.36 is: 11,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.84 : 30,242.70 = 7,684.36 : x
  2. Step 2: Convert to fraction form
    20,152.84/30,242.70 = 7,684.36/x
  3. Step 3: Cross multiply
    20,152.84x = 30,242.70 × 7,684.36
  4. Step 4: Simplify right side
    20,152.84x = 232,395,794.17
  5. Step 5: Solve for x
    x = 232,395,794.17/20,152.84
  6. Step 6: Final answer
    x = 11,531.66

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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.