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Finding the Fourth Proportional to 13,460.34, 18,573.05 and 7,491.86

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Solution

The fourth proportional to 13,460.34, 18,573.05 and 7,491.86 is: 10,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.34 : 18,573.05 = 7,491.86 : x
  2. Step 2: Convert to fraction form
    13,460.34/18,573.05 = 7,491.86/x
  3. Step 3: Cross multiply
    13,460.34x = 18,573.05 × 7,491.86
  4. Step 4: Simplify right side
    13,460.34x = 139,146,560.05
  5. Step 5: Solve for x
    x = 139,146,560.05/13,460.34
  6. Step 6: Final answer
    x = 10,337.52

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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.