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Finding the Fourth Proportional to 13,490.64, 18,616.37 and 7,440.71

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Solution

The fourth proportional to 13,490.64, 18,616.37 and 7,440.71 is: 10,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.64 : 18,616.37 = 7,440.71 : x
  2. Step 2: Convert to fraction form
    13,490.64/18,616.37 = 7,440.71/x
  3. Step 3: Cross multiply
    13,490.64x = 18,616.37 × 7,440.71
  4. Step 4: Simplify right side
    13,490.64x = 138,518,880.14
  5. Step 5: Solve for x
    x = 138,518,880.14/13,490.64
  6. Step 6: Final answer
    x = 10,267.78

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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.