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Finding the Fourth Proportional to 13,512, 18,646.56 and 7,624

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Solution

The fourth proportional to 13,512, 18,646.56 and 7,624 is: 10,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512 : 18,646.56 = 7,624 : x
  2. Step 2: Convert to fraction form
    13,512/18,646.56 = 7,624/x
  3. Step 3: Cross multiply
    13,512x = 18,646.56 × 7,624
  4. Step 4: Simplify right side
    13,512x = 142,161,373.44
  5. Step 5: Solve for x
    x = 142,161,373.44/13,512
  6. Step 6: Final answer
    x = 10,521.12

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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.