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Finding the Fourth Proportional to 13,527.86, 20,292.93 and 3,533.93

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Solution

The fourth proportional to 13,527.86, 20,292.93 and 3,533.93 is: 5,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.86 : 20,292.93 = 3,533.93 : x
  2. Step 2: Convert to fraction form
    13,527.86/20,292.93 = 3,533.93/x
  3. Step 3: Cross multiply
    13,527.86x = 20,292.93 × 3,533.93
  4. Step 4: Simplify right side
    13,527.86x = 71,713,692.65
  5. Step 5: Solve for x
    x = 71,713,692.65/13,527.86
  6. Step 6: Final answer
    x = 5,301.19

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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.