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Finding the Fourth Proportional to 14,641.84, 21,940.57 and 9,693.75

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Solution

The fourth proportional to 14,641.84, 21,940.57 and 9,693.75 is: 14,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.84 : 21,940.57 = 9,693.75 : x
  2. Step 2: Convert to fraction form
    14,641.84/21,940.57 = 9,693.75/x
  3. Step 3: Cross multiply
    14,641.84x = 21,940.57 × 9,693.75
  4. Step 4: Simplify right side
    14,641.84x = 212,686,400.44
  5. Step 5: Solve for x
    x = 212,686,400.44/14,641.84
  6. Step 6: Final answer
    x = 14,525.93

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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.