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Finding the Fourth Proportional to 13,584, 18,777.30 and 11,332.74

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Solution

The fourth proportional to 13,584, 18,777.30 and 11,332.74 is: 15,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 18,777.30 = 11,332.74 : x
  2. Step 2: Convert to fraction form
    13,584/18,777.30 = 11,332.74/x
  3. Step 3: Cross multiply
    13,584x = 18,777.30 × 11,332.74
  4. Step 4: Simplify right side
    13,584x = 212,798,258.80
  5. Step 5: Solve for x
    x = 212,798,258.80/13,584
  6. Step 6: Final answer
    x = 15,665.36

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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.