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Finding the Fourth Proportional to 13,301.71, 18,353.05 and 8,454.67

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Solution

The fourth proportional to 13,301.71, 18,353.05 and 8,454.67 is: 11,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.71 : 18,353.05 = 8,454.67 : x
  2. Step 2: Convert to fraction form
    13,301.71/18,353.05 = 8,454.67/x
  3. Step 3: Cross multiply
    13,301.71x = 18,353.05 × 8,454.67
  4. Step 4: Simplify right side
    13,301.71x = 155,168,981.24
  5. Step 5: Solve for x
    x = 155,168,981.24/13,301.71
  6. Step 6: Final answer
    x = 11,665.34

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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.