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Finding the Fourth Proportional to 21,574.84, 29,766.32 and 12,141.58

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Solution

The fourth proportional to 21,574.84, 29,766.32 and 12,141.58 is: 16,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.84 : 29,766.32 = 12,141.58 : x
  2. Step 2: Convert to fraction form
    21,574.84/29,766.32 = 12,141.58/x
  3. Step 3: Cross multiply
    21,574.84x = 29,766.32 × 12,141.58
  4. Step 4: Simplify right side
    21,574.84x = 361,410,155.59
  5. Step 5: Solve for x
    x = 361,410,155.59/21,574.84
  6. Step 6: Final answer
    x = 16,751.46

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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.