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Finding the Fourth Proportional to 13,490.94, 18,617.31 and 7,522.50

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Solution

The fourth proportional to 13,490.94, 18,617.31 and 7,522.50 is: 10,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.94 : 18,617.31 = 7,522.50 : x
  2. Step 2: Convert to fraction form
    13,490.94/18,617.31 = 7,522.50/x
  3. Step 3: Cross multiply
    13,490.94x = 18,617.31 × 7,522.50
  4. Step 4: Simplify right side
    13,490.94x = 140,048,714.48
  5. Step 5: Solve for x
    x = 140,048,714.48/13,490.94
  6. Step 6: Final answer
    x = 10,380.95

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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.