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Finding the Fourth Proportional to 13,428.84, 18,532.41 and 7,461.09

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Solution

The fourth proportional to 13,428.84, 18,532.41 and 7,461.09 is: 10,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.84 : 18,532.41 = 7,461.09 : x
  2. Step 2: Convert to fraction form
    13,428.84/18,532.41 = 7,461.09/x
  3. Step 3: Cross multiply
    13,428.84x = 18,532.41 × 7,461.09
  4. Step 4: Simplify right side
    13,428.84x = 138,271,978.93
  5. Step 5: Solve for x
    x = 138,271,978.93/13,428.84
  6. Step 6: Final answer
    x = 10,296.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.