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Finding the Fourth Proportional to 23,491.53, 32,416.20 and 13,419.95

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Solution

The fourth proportional to 23,491.53, 32,416.20 and 13,419.95 is: 18,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.53 : 32,416.20 = 13,419.95 : x
  2. Step 2: Convert to fraction form
    23,491.53/32,416.20 = 13,419.95/x
  3. Step 3: Cross multiply
    23,491.53x = 32,416.20 × 13,419.95
  4. Step 4: Simplify right side
    23,491.53x = 435,023,621.11
  5. Step 5: Solve for x
    x = 435,023,621.11/23,491.53
  6. Step 6: Final answer
    x = 18,518.32

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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.