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Finding the Fourth Proportional to 14,065.63, 21,104.25 and 6,164.05

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Solution

The fourth proportional to 14,065.63, 21,104.25 and 6,164.05 is: 9,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.63 : 21,104.25 = 6,164.05 : x
  2. Step 2: Convert to fraction form
    14,065.63/21,104.25 = 6,164.05/x
  3. Step 3: Cross multiply
    14,065.63x = 21,104.25 × 6,164.05
  4. Step 4: Simplify right side
    14,065.63x = 130,087,652.21
  5. Step 5: Solve for x
    x = 130,087,652.21/14,065.63
  6. Step 6: Final answer
    x = 9,248.62

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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.