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Finding the Fourth Proportional to 14,077.62, 19,427.16 and 7,704.08

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Solution

The fourth proportional to 14,077.62, 19,427.16 and 7,704.08 is: 10,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.62 : 19,427.16 = 7,704.08 : x
  2. Step 2: Convert to fraction form
    14,077.62/19,427.16 = 7,704.08/x
  3. Step 3: Cross multiply
    14,077.62x = 19,427.16 × 7,704.08
  4. Step 4: Simplify right side
    14,077.62x = 149,668,394.81
  5. Step 5: Solve for x
    x = 149,668,394.81/14,077.62
  6. Step 6: Final answer
    x = 10,631.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.