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Finding the Fourth Proportional to 13,497.64, 18,625.38 and 7,528.84

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Solution

The fourth proportional to 13,497.64, 18,625.38 and 7,528.84 is: 10,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.64 : 18,625.38 = 7,528.84 : x
  2. Step 2: Convert to fraction form
    13,497.64/18,625.38 = 7,528.84/x
  3. Step 3: Cross multiply
    13,497.64x = 18,625.38 × 7,528.84
  4. Step 4: Simplify right side
    13,497.64x = 140,227,505.96
  5. Step 5: Solve for x
    x = 140,227,505.96/13,497.64
  6. Step 6: Final answer
    x = 10,389.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.