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Finding the Fourth Proportional to 13,748.56, 18,973.08 and 7,460.92

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Solution

The fourth proportional to 13,748.56, 18,973.08 and 7,460.92 is: 10,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.56 : 18,973.08 = 7,460.92 : x
  2. Step 2: Convert to fraction form
    13,748.56/18,973.08 = 7,460.92/x
  3. Step 3: Cross multiply
    13,748.56x = 18,973.08 × 7,460.92
  4. Step 4: Simplify right side
    13,748.56x = 141,556,632.03
  5. Step 5: Solve for x
    x = 141,556,632.03/13,748.56
  6. Step 6: Final answer
    x = 10,296.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.