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Finding the Fourth Proportional to 13,492.71, 20,238.28 and 5,172.39

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Solution

The fourth proportional to 13,492.71, 20,238.28 and 5,172.39 is: 7,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.71 : 20,238.28 = 5,172.39 : x
  2. Step 2: Convert to fraction form
    13,492.71/20,238.28 = 5,172.39/x
  3. Step 3: Cross multiply
    13,492.71x = 20,238.28 × 5,172.39
  4. Step 4: Simplify right side
    13,492.71x = 104,680,264.16
  5. Step 5: Solve for x
    x = 104,680,264.16/13,492.71
  6. Step 6: Final answer
    x = 7,758.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.