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Finding the Fourth Proportional to 13,328, 18,392.64 and 7,440

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Solution

The fourth proportional to 13,328, 18,392.64 and 7,440 is: 10,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328 : 18,392.64 = 7,440 : x
  2. Step 2: Convert to fraction form
    13,328/18,392.64 = 7,440/x
  3. Step 3: Cross multiply
    13,328x = 18,392.64 × 7,440
  4. Step 4: Simplify right side
    13,328x = 136,841,241.60
  5. Step 5: Solve for x
    x = 136,841,241.60/13,328
  6. Step 6: Final answer
    x = 10,267.20

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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.