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Finding the Fourth Proportional to 13,526.88, 20,294.40 and 5,207.68

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Solution

The fourth proportional to 13,526.88, 20,294.40 and 5,207.68 is: 7,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.88 : 20,294.40 = 5,207.68 : x
  2. Step 2: Convert to fraction form
    13,526.88/20,294.40 = 5,207.68/x
  3. Step 3: Cross multiply
    13,526.88x = 20,294.40 × 5,207.68
  4. Step 4: Simplify right side
    13,526.88x = 105,686,740.99
  5. Step 5: Solve for x
    x = 105,686,740.99/13,526.88
  6. Step 6: Final answer
    x = 7,813.09

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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.