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Finding the Fourth Proportional to 13,681.48, 20,526.54 and 5,893.96

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Solution

The fourth proportional to 13,681.48, 20,526.54 and 5,893.96 is: 8,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.48 : 20,526.54 = 5,893.96 : x
  2. Step 2: Convert to fraction form
    13,681.48/20,526.54 = 5,893.96/x
  3. Step 3: Cross multiply
    13,681.48x = 20,526.54 × 5,893.96
  4. Step 4: Simplify right side
    13,681.48x = 120,982,605.70
  5. Step 5: Solve for x
    x = 120,982,605.70/13,681.48
  6. Step 6: Final answer
    x = 8,842.80

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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.