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Finding the Fourth Proportional to 23,847.08, 32,904.18 and 14,416.20

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Solution

The fourth proportional to 23,847.08, 32,904.18 and 14,416.20 is: 19,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.08 : 32,904.18 = 14,416.20 : x
  2. Step 2: Convert to fraction form
    23,847.08/32,904.18 = 14,416.20/x
  3. Step 3: Cross multiply
    23,847.08x = 32,904.18 × 14,416.20
  4. Step 4: Simplify right side
    23,847.08x = 474,353,239.72
  5. Step 5: Solve for x
    x = 474,353,239.72/23,847.08
  6. Step 6: Final answer
    x = 19,891.46

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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.