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Finding the Fourth Proportional to 14,881.34, 20,537.19 and 10,849.16

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Solution

The fourth proportional to 14,881.34, 20,537.19 and 10,849.16 is: 14,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.34 : 20,537.19 = 10,849.16 : x
  2. Step 2: Convert to fraction form
    14,881.34/20,537.19 = 10,849.16/x
  3. Step 3: Cross multiply
    14,881.34x = 20,537.19 × 10,849.16
  4. Step 4: Simplify right side
    14,881.34x = 222,811,157.57
  5. Step 5: Solve for x
    x = 222,811,157.57/14,881.34
  6. Step 6: Final answer
    x = 14,972.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.