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Finding the Fourth Proportional to 14,644.94, 20,205.25 and 9,341.46

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Solution

The fourth proportional to 14,644.94, 20,205.25 and 9,341.46 is: 12,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.94 : 20,205.25 = 9,341.46 : x
  2. Step 2: Convert to fraction form
    14,644.94/20,205.25 = 9,341.46/x
  3. Step 3: Cross multiply
    14,644.94x = 20,205.25 × 9,341.46
  4. Step 4: Simplify right side
    14,644.94x = 188,746,511.31
  5. Step 5: Solve for x
    x = 188,746,511.31/14,644.94
  6. Step 6: Final answer
    x = 12,888.18

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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.