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Finding the Fourth Proportional to 14,311.84, 19,761 and 12,343.56

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Solution

The fourth proportional to 14,311.84, 19,761 and 12,343.56 is: 17,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.84 : 19,761 = 12,343.56 : x
  2. Step 2: Convert to fraction form
    14,311.84/19,761 = 12,343.56/x
  3. Step 3: Cross multiply
    14,311.84x = 19,761 × 12,343.56
  4. Step 4: Simplify right side
    14,311.84x = 243,921,089.16
  5. Step 5: Solve for x
    x = 243,921,089.16/14,311.84
  6. Step 6: Final answer
    x = 17,043.31

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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.