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Finding the Fourth Proportional to 13,748.80, 18,973.20 and 7,461.20

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Solution

The fourth proportional to 13,748.80, 18,973.20 and 7,461.20 is: 10,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.80 : 18,973.20 = 7,461.20 : x
  2. Step 2: Convert to fraction form
    13,748.80/18,973.20 = 7,461.20/x
  3. Step 3: Cross multiply
    13,748.80x = 18,973.20 × 7,461.20
  4. Step 4: Simplify right side
    13,748.80x = 141,562,839.84
  5. Step 5: Solve for x
    x = 141,562,839.84/13,748.80
  6. Step 6: Final answer
    x = 10,296.38

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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.