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Finding the Fourth Proportional to 13,762.27, 20,641.23 and 11,437.22

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Solution

The fourth proportional to 13,762.27, 20,641.23 and 11,437.22 is: 17,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.27 : 20,641.23 = 11,437.22 : x
  2. Step 2: Convert to fraction form
    13,762.27/20,641.23 = 11,437.22/x
  3. Step 3: Cross multiply
    13,762.27x = 20,641.23 × 11,437.22
  4. Step 4: Simplify right side
    13,762.27x = 236,078,185.37
  5. Step 5: Solve for x
    x = 236,078,185.37/13,762.27
  6. Step 6: Final answer
    x = 17,154.02

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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.