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Finding the Fourth Proportional to 13,526.83, 20,290.01 and 5,208.65

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Solution

The fourth proportional to 13,526.83, 20,290.01 and 5,208.65 is: 7,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.83 : 20,290.01 = 5,208.65 : x
  2. Step 2: Convert to fraction form
    13,526.83/20,290.01 = 5,208.65/x
  3. Step 3: Cross multiply
    13,526.83x = 20,290.01 × 5,208.65
  4. Step 4: Simplify right side
    13,526.83x = 105,683,534.54
  5. Step 5: Solve for x
    x = 105,683,534.54/13,526.83
  6. Step 6: Final answer
    x = 7,812.89

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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.