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Finding the Fourth Proportional to 13,428.86, 18,530.97 and 7,460.42

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Solution

The fourth proportional to 13,428.86, 18,530.97 and 7,460.42 is: 10,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.86 : 18,530.97 = 7,460.42 : x
  2. Step 2: Convert to fraction form
    13,428.86/18,530.97 = 7,460.42/x
  3. Step 3: Cross multiply
    13,428.86x = 18,530.97 × 7,460.42
  4. Step 4: Simplify right side
    13,428.86x = 138,248,819.21
  5. Step 5: Solve for x
    x = 138,248,819.21/13,428.86
  6. Step 6: Final answer
    x = 10,294.90

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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.