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Finding the Fourth Proportional to 14,533.84, 21,804.36 and 4,674.22

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Solution

The fourth proportional to 14,533.84, 21,804.36 and 4,674.22 is: 7,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.84 : 21,804.36 = 4,674.22 : x
  2. Step 2: Convert to fraction form
    14,533.84/21,804.36 = 4,674.22/x
  3. Step 3: Cross multiply
    14,533.84x = 21,804.36 × 4,674.22
  4. Step 4: Simplify right side
    14,533.84x = 101,918,375.60
  5. Step 5: Solve for x
    x = 101,918,375.60/14,533.84
  6. Step 6: Final answer
    x = 7,012.49

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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.