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Finding the Fourth Proportional to 14,290.96, 19,703.12 and 9,246.24

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Solution

The fourth proportional to 14,290.96, 19,703.12 and 9,246.24 is: 12,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.96 : 19,703.12 = 9,246.24 : x
  2. Step 2: Convert to fraction form
    14,290.96/19,703.12 = 9,246.24/x
  3. Step 3: Cross multiply
    14,290.96x = 19,703.12 × 9,246.24
  4. Step 4: Simplify right side
    14,290.96x = 182,179,776.27
  5. Step 5: Solve for x
    x = 182,179,776.27/14,290.96
  6. Step 6: Final answer
    x = 12,747.90

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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.