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Finding the Fourth Proportional to 21,657.42, 29,878.20 and 14,571.54

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Solution

The fourth proportional to 21,657.42, 29,878.20 and 14,571.54 is: 20,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.42 : 29,878.20 = 14,571.54 : x
  2. Step 2: Convert to fraction form
    21,657.42/29,878.20 = 14,571.54/x
  3. Step 3: Cross multiply
    21,657.42x = 29,878.20 × 14,571.54
  4. Step 4: Simplify right side
    21,657.42x = 435,371,386.43
  5. Step 5: Solve for x
    x = 435,371,386.43/21,657.42
  6. Step 6: Final answer
    x = 20,102.64

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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.