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Finding the Fourth Proportional to 13,541.04, 20,302.02 and 5,214.06

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Solution

The fourth proportional to 13,541.04, 20,302.02 and 5,214.06 is: 7,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.04 : 20,302.02 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    13,541.04/20,302.02 = 5,214.06/x
  3. Step 3: Cross multiply
    13,541.04x = 20,302.02 × 5,214.06
  4. Step 4: Simplify right side
    13,541.04x = 105,855,950.40
  5. Step 5: Solve for x
    x = 105,855,950.40/13,541.04
  6. Step 6: Final answer
    x = 7,817.42

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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.