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Finding the Fourth Proportional to 14,005.10, 21,015.86 and 7,770.33

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Solution

The fourth proportional to 14,005.10, 21,015.86 and 7,770.33 is: 11,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.10 : 21,015.86 = 7,770.33 : x
  2. Step 2: Convert to fraction form
    14,005.10/21,015.86 = 7,770.33/x
  3. Step 3: Cross multiply
    14,005.10x = 21,015.86 × 7,770.33
  4. Step 4: Simplify right side
    14,005.10x = 163,300,128.58
  5. Step 5: Solve for x
    x = 163,300,128.58/14,005.10
  6. Step 6: Final answer
    x = 11,660.05

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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.