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Finding the Fourth Proportional to 13,492.54, 20,238.67 and 7,569.41

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Solution

The fourth proportional to 13,492.54, 20,238.67 and 7,569.41 is: 11,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.54 : 20,238.67 = 7,569.41 : x
  2. Step 2: Convert to fraction form
    13,492.54/20,238.67 = 7,569.41/x
  3. Step 3: Cross multiply
    13,492.54x = 20,238.67 × 7,569.41
  4. Step 4: Simplify right side
    13,492.54x = 153,194,822.76
  5. Step 5: Solve for x
    x = 153,194,822.76/13,492.54
  6. Step 6: Final answer
    x = 11,354.04

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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.