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Finding the Fourth Proportional to 21,664.80, 29,918.16 and 14,234.40

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Solution

The fourth proportional to 21,664.80, 29,918.16 and 14,234.40 is: 19,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.80 : 29,918.16 = 14,234.40 : x
  2. Step 2: Convert to fraction form
    21,664.80/29,918.16 = 14,234.40/x
  3. Step 3: Cross multiply
    21,664.80x = 29,918.16 × 14,234.40
  4. Step 4: Simplify right side
    21,664.80x = 425,867,056.70
  5. Step 5: Solve for x
    x = 425,867,056.70/21,664.80
  6. Step 6: Final answer
    x = 19,657.10

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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.