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Finding the Fourth Proportional to 13,138, 18,130.44 and 8,953.54

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Solution

The fourth proportional to 13,138, 18,130.44 and 8,953.54 is: 12,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 18,130.44 = 8,953.54 : x
  2. Step 2: Convert to fraction form
    13,138/18,130.44 = 8,953.54/x
  3. Step 3: Cross multiply
    13,138x = 18,130.44 × 8,953.54
  4. Step 4: Simplify right side
    13,138x = 162,331,619.76
  5. Step 5: Solve for x
    x = 162,331,619.76/13,138
  6. Step 6: Final answer
    x = 12,355.89

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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.