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Finding the Fourth Proportional to 23,466.34, 32,389.23 and 14,508.44

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Solution

The fourth proportional to 23,466.34, 32,389.23 and 14,508.44 is: 20,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.34 : 32,389.23 = 14,508.44 : x
  2. Step 2: Convert to fraction form
    23,466.34/32,389.23 = 14,508.44/x
  3. Step 3: Cross multiply
    23,466.34x = 32,389.23 × 14,508.44
  4. Step 4: Simplify right side
    23,466.34x = 469,917,200.10
  5. Step 5: Solve for x
    x = 469,917,200.10/23,466.34
  6. Step 6: Final answer
    x = 20,025.16

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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.