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Finding the Fourth Proportional to 14,195.12, 19,590.86 and 9,157.32

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Solution

The fourth proportional to 14,195.12, 19,590.86 and 9,157.32 is: 12,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.12 : 19,590.86 = 9,157.32 : x
  2. Step 2: Convert to fraction form
    14,195.12/19,590.86 = 9,157.32/x
  3. Step 3: Cross multiply
    14,195.12x = 19,590.86 × 9,157.32
  4. Step 4: Simplify right side
    14,195.12x = 179,399,796.99
  5. Step 5: Solve for x
    x = 179,399,796.99/14,195.12
  6. Step 6: Final answer
    x = 12,638.14

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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.