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Finding the Fourth Proportional to 13,154.69, 18,153.73 and 7,186.74

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Solution

The fourth proportional to 13,154.69, 18,153.73 and 7,186.74 is: 9,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.69 : 18,153.73 = 7,186.74 : x
  2. Step 2: Convert to fraction form
    13,154.69/18,153.73 = 7,186.74/x
  3. Step 3: Cross multiply
    13,154.69x = 18,153.73 × 7,186.74
  4. Step 4: Simplify right side
    13,154.69x = 130,466,078.45
  5. Step 5: Solve for x
    x = 130,466,078.45/13,154.69
  6. Step 6: Final answer
    x = 9,917.84

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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.