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Finding the Fourth Proportional to 13,469.76, 18,588.56 and 7,501.80

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Solution

The fourth proportional to 13,469.76, 18,588.56 and 7,501.80 is: 10,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.76 : 18,588.56 = 7,501.80 : x
  2. Step 2: Convert to fraction form
    13,469.76/18,588.56 = 7,501.80/x
  3. Step 3: Cross multiply
    13,469.76x = 18,588.56 × 7,501.80
  4. Step 4: Simplify right side
    13,469.76x = 139,447,659.41
  5. Step 5: Solve for x
    x = 139,447,659.41/13,469.76
  6. Step 6: Final answer
    x = 10,352.65

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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.