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Finding the Fourth Proportional to 13,690.16, 18,894.36 and 8,315.31

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Solution

The fourth proportional to 13,690.16, 18,894.36 and 8,315.31 is: 11,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.16 : 18,894.36 = 8,315.31 : x
  2. Step 2: Convert to fraction form
    13,690.16/18,894.36 = 8,315.31/x
  3. Step 3: Cross multiply
    13,690.16x = 18,894.36 × 8,315.31
  4. Step 4: Simplify right side
    13,690.16x = 157,112,460.65
  5. Step 5: Solve for x
    x = 157,112,460.65/13,690.16
  6. Step 6: Final answer
    x = 11,476.31

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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.