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Finding the Fourth Proportional to 13,399.76, 18,492.36 and 10,082

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Solution

The fourth proportional to 13,399.76, 18,492.36 and 10,082 is: 13,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.76 : 18,492.36 = 10,082 : x
  2. Step 2: Convert to fraction form
    13,399.76/18,492.36 = 10,082/x
  3. Step 3: Cross multiply
    13,399.76x = 18,492.36 × 10,082
  4. Step 4: Simplify right side
    13,399.76x = 186,439,973.52
  5. Step 5: Solve for x
    x = 186,439,973.52/13,399.76
  6. Step 6: Final answer
    x = 13,913.68

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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.