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Finding the Fourth Proportional to 14,914.32, 22,374.67 and 9,374.84

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Solution

The fourth proportional to 14,914.32, 22,374.67 and 9,374.84 is: 14,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.32 : 22,374.67 = 9,374.84 : x
  2. Step 2: Convert to fraction form
    14,914.32/22,374.67 = 9,374.84/x
  3. Step 3: Cross multiply
    14,914.32x = 22,374.67 × 9,374.84
  4. Step 4: Simplify right side
    14,914.32x = 209,758,839.43
  5. Step 5: Solve for x
    x = 209,758,839.43/14,914.32
  6. Step 6: Final answer
    x = 14,064.26

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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.