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Finding the Fourth Proportional to 13,527.80, 20,277.90 and 9,145.70

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Solution

The fourth proportional to 13,527.80, 20,277.90 and 9,145.70 is: 13,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.80 : 20,277.90 = 9,145.70 : x
  2. Step 2: Convert to fraction form
    13,527.80/20,277.90 = 9,145.70/x
  3. Step 3: Cross multiply
    13,527.80x = 20,277.90 × 9,145.70
  4. Step 4: Simplify right side
    13,527.80x = 185,455,590.03
  5. Step 5: Solve for x
    x = 185,455,590.03/13,527.80
  6. Step 6: Final answer
    x = 13,709.22

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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.