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Finding the Fourth Proportional to 23,214.54, 32,023.98 and 14,264.04

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Solution

The fourth proportional to 23,214.54, 32,023.98 and 14,264.04 is: 19,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.54 : 32,023.98 = 14,264.04 : x
  2. Step 2: Convert to fraction form
    23,214.54/32,023.98 = 14,264.04/x
  3. Step 3: Cross multiply
    23,214.54x = 32,023.98 × 14,264.04
  4. Step 4: Simplify right side
    23,214.54x = 456,791,331.68
  5. Step 5: Solve for x
    x = 456,791,331.68/23,214.54
  6. Step 6: Final answer
    x = 19,676.95

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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.