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Finding the Fourth Proportional to 22,419.75, 30,928.86 and 14,464.53

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Solution

The fourth proportional to 22,419.75, 30,928.86 and 14,464.53 is: 19,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.75 : 30,928.86 = 14,464.53 : x
  2. Step 2: Convert to fraction form
    22,419.75/30,928.86 = 14,464.53/x
  3. Step 3: Cross multiply
    22,419.75x = 30,928.86 × 14,464.53
  4. Step 4: Simplify right side
    22,419.75x = 447,371,423.34
  5. Step 5: Solve for x
    x = 447,371,423.34/22,419.75
  6. Step 6: Final answer
    x = 19,954.34

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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.