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Finding the Fourth Proportional to 13,035.12, 17,988.24 and 7,446

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Solution

The fourth proportional to 13,035.12, 17,988.24 and 7,446 is: 10,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.12 : 17,988.24 = 7,446 : x
  2. Step 2: Convert to fraction form
    13,035.12/17,988.24 = 7,446/x
  3. Step 3: Cross multiply
    13,035.12x = 17,988.24 × 7,446
  4. Step 4: Simplify right side
    13,035.12x = 133,940,435.04
  5. Step 5: Solve for x
    x = 133,940,435.04/13,035.12
  6. Step 6: Final answer
    x = 10,275.35

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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.