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Finding the Fourth Proportional to 13,477.71, 18,579.93 and 9,486.42

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Solution

The fourth proportional to 13,477.71, 18,579.93 and 9,486.42 is: 13,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.71 : 18,579.93 = 9,486.42 : x
  2. Step 2: Convert to fraction form
    13,477.71/18,579.93 = 9,486.42/x
  3. Step 3: Cross multiply
    13,477.71x = 18,579.93 × 9,486.42
  4. Step 4: Simplify right side
    13,477.71x = 176,257,019.55
  5. Step 5: Solve for x
    x = 176,257,019.55/13,477.71
  6. Step 6: Final answer
    x = 13,077.67

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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.