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Finding the Fourth Proportional to 23,496.64, 32,423.04 and 14,064.96

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Solution

The fourth proportional to 23,496.64, 32,423.04 and 14,064.96 is: 19,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.64 : 32,423.04 = 14,064.96 : x
  2. Step 2: Convert to fraction form
    23,496.64/32,423.04 = 14,064.96/x
  3. Step 3: Cross multiply
    23,496.64x = 32,423.04 × 14,064.96
  4. Step 4: Simplify right side
    23,496.64x = 456,028,760.68
  5. Step 5: Solve for x
    x = 456,028,760.68/23,496.64
  6. Step 6: Final answer
    x = 19,408.25

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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.