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Finding the Fourth Proportional to 13,466.96, 18,583.86 and 7,498.46

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Solution

The fourth proportional to 13,466.96, 18,583.86 and 7,498.46 is: 10,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.96 : 18,583.86 = 7,498.46 : x
  2. Step 2: Convert to fraction form
    13,466.96/18,583.86 = 7,498.46/x
  3. Step 3: Cross multiply
    13,466.96x = 18,583.86 × 7,498.46
  4. Step 4: Simplify right side
    13,466.96x = 139,350,330.86
  5. Step 5: Solve for x
    x = 139,350,330.86/13,466.96
  6. Step 6: Final answer
    x = 10,347.57

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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.