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Finding the Fourth Proportional to 14,612.90, 21,919.12 and 13,678.97

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Solution

The fourth proportional to 14,612.90, 21,919.12 and 13,678.97 is: 20,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.90 : 21,919.12 = 13,678.97 : x
  2. Step 2: Convert to fraction form
    14,612.90/21,919.12 = 13,678.97/x
  3. Step 3: Cross multiply
    14,612.90x = 21,919.12 × 13,678.97
  4. Step 4: Simplify right side
    14,612.90x = 299,830,841.11
  5. Step 5: Solve for x
    x = 299,830,841.11/14,612.90
  6. Step 6: Final answer
    x = 20,518.24

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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.