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Finding the Fourth Proportional to 13,748, 18,972.20 and 7,460.40

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Solution

The fourth proportional to 13,748, 18,972.20 and 7,460.40 is: 10,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748 : 18,972.20 = 7,460.40 : x
  2. Step 2: Convert to fraction form
    13,748/18,972.20 = 7,460.40/x
  3. Step 3: Cross multiply
    13,748x = 18,972.20 × 7,460.40
  4. Step 4: Simplify right side
    13,748x = 141,540,200.88
  5. Step 5: Solve for x
    x = 141,540,200.88/13,748
  6. Step 6: Final answer
    x = 10,295.33

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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.