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Finding the Fourth Proportional to 14,015.10, 21,022.65 and 12,783.90

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Solution

The fourth proportional to 14,015.10, 21,022.65 and 12,783.90 is: 19,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.10 : 21,022.65 = 12,783.90 : x
  2. Step 2: Convert to fraction form
    14,015.10/21,022.65 = 12,783.90/x
  3. Step 3: Cross multiply
    14,015.10x = 21,022.65 × 12,783.90
  4. Step 4: Simplify right side
    14,015.10x = 268,751,455.34
  5. Step 5: Solve for x
    x = 268,751,455.34/14,015.10
  6. Step 6: Final answer
    x = 19,175.85

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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.