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Finding the Fourth Proportional to 23,052.16, 31,811.16 and 14,114.56

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Solution

The fourth proportional to 23,052.16, 31,811.16 and 14,114.56 is: 19,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.16 : 31,811.16 = 14,114.56 : x
  2. Step 2: Convert to fraction form
    23,052.16/31,811.16 = 14,114.56/x
  3. Step 3: Cross multiply
    23,052.16x = 31,811.16 × 14,114.56
  4. Step 4: Simplify right side
    23,052.16x = 449,000,526.49
  5. Step 5: Solve for x
    x = 449,000,526.49/23,052.16
  6. Step 6: Final answer
    x = 19,477.59

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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.