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Finding the Fourth Proportional to 14,077, 21,115.77 and 5,316.04

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Solution

The fourth proportional to 14,077, 21,115.77 and 5,316.04 is: 7,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077 : 21,115.77 = 5,316.04 : x
  2. Step 2: Convert to fraction form
    14,077/21,115.77 = 5,316.04/x
  3. Step 3: Cross multiply
    14,077x = 21,115.77 × 5,316.04
  4. Step 4: Simplify right side
    14,077x = 112,252,277.95
  5. Step 5: Solve for x
    x = 112,252,277.95/14,077
  6. Step 6: Final answer
    x = 7,974.16

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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.