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Finding the Fourth Proportional to 19,022.46, 28,525.44 and 14,643

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Solution

The fourth proportional to 19,022.46, 28,525.44 and 14,643 is: 21,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,022.46 : 28,525.44 = 14,643 : x
  2. Step 2: Convert to fraction form
    19,022.46/28,525.44 = 14,643/x
  3. Step 3: Cross multiply
    19,022.46x = 28,525.44 × 14,643
  4. Step 4: Simplify right side
    19,022.46x = 417,698,017.92
  5. Step 5: Solve for x
    x = 417,698,017.92/19,022.46
  6. Step 6: Final answer
    x = 21,958.15

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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.