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Finding the Fourth Proportional to 13,460.68, 18,582.24 and 9,234.64

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Solution

The fourth proportional to 13,460.68, 18,582.24 and 9,234.64 is: 12,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.68 : 18,582.24 = 9,234.64 : x
  2. Step 2: Convert to fraction form
    13,460.68/18,582.24 = 9,234.64/x
  3. Step 3: Cross multiply
    13,460.68x = 18,582.24 × 9,234.64
  4. Step 4: Simplify right side
    13,460.68x = 171,600,296.79
  5. Step 5: Solve for x
    x = 171,600,296.79/13,460.68
  6. Step 6: Final answer
    x = 12,748.26

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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.