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Finding the Fourth Proportional to 23,492.16, 32,418.48 and 13,420.56

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Solution

The fourth proportional to 23,492.16, 32,418.48 and 13,420.56 is: 18,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.16 : 32,418.48 = 13,420.56 : x
  2. Step 2: Convert to fraction form
    23,492.16/32,418.48 = 13,420.56/x
  3. Step 3: Cross multiply
    23,492.16x = 32,418.48 × 13,420.56
  4. Step 4: Simplify right side
    23,492.16x = 435,074,155.95
  5. Step 5: Solve for x
    x = 435,074,155.95/23,492.16
  6. Step 6: Final answer
    x = 18,519.97

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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.