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Finding the Fourth Proportional to 13,527.63, 20,292.44 and 4,643.61

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Solution

The fourth proportional to 13,527.63, 20,292.44 and 4,643.61 is: 6,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.63 : 20,292.44 = 4,643.61 : x
  2. Step 2: Convert to fraction form
    13,527.63/20,292.44 = 4,643.61/x
  3. Step 3: Cross multiply
    13,527.63x = 20,292.44 × 4,643.61
  4. Step 4: Simplify right side
    13,527.63x = 94,230,154.09
  5. Step 5: Solve for x
    x = 94,230,154.09/13,527.63
  6. Step 6: Final answer
    x = 6,965.75

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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.