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Finding the Fourth Proportional to 13,527.94, 20,285.52 and 7,907.22

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Solution

The fourth proportional to 13,527.94, 20,285.52 and 7,907.22 is: 11,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.94 : 20,285.52 = 7,907.22 : x
  2. Step 2: Convert to fraction form
    13,527.94/20,285.52 = 7,907.22/x
  3. Step 3: Cross multiply
    13,527.94x = 20,285.52 × 7,907.22
  4. Step 4: Simplify right side
    13,527.94x = 160,402,069.45
  5. Step 5: Solve for x
    x = 160,402,069.45/13,527.94
  6. Step 6: Final answer
    x = 11,857.09

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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.