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Finding the Fourth Proportional to 13,457.54, 18,571.32 and 7,488.86

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Solution

The fourth proportional to 13,457.54, 18,571.32 and 7,488.86 is: 10,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.54 : 18,571.32 = 7,488.86 : x
  2. Step 2: Convert to fraction form
    13,457.54/18,571.32 = 7,488.86/x
  3. Step 3: Cross multiply
    13,457.54x = 18,571.32 × 7,488.86
  4. Step 4: Simplify right side
    13,457.54x = 139,078,015.50
  5. Step 5: Solve for x
    x = 139,078,015.50/13,457.54
  6. Step 6: Final answer
    x = 10,334.58

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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.