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Finding the Fourth Proportional to 14,315.76, 21,469.74 and 5,994.06

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Solution

The fourth proportional to 14,315.76, 21,469.74 and 5,994.06 is: 8,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.76 : 21,469.74 = 5,994.06 : x
  2. Step 2: Convert to fraction form
    14,315.76/21,469.74 = 5,994.06/x
  3. Step 3: Cross multiply
    14,315.76x = 21,469.74 × 5,994.06
  4. Step 4: Simplify right side
    14,315.76x = 128,690,909.74
  5. Step 5: Solve for x
    x = 128,690,909.74/14,315.76
  6. Step 6: Final answer
    x = 8,989.46

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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.