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Finding the Fourth Proportional to 23,384.41, 32,245.93 and 15,416.44

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Solution

The fourth proportional to 23,384.41, 32,245.93 and 15,416.44 is: 21,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.41 : 32,245.93 = 15,416.44 : x
  2. Step 2: Convert to fraction form
    23,384.41/32,245.93 = 15,416.44/x
  3. Step 3: Cross multiply
    23,384.41x = 32,245.93 × 15,416.44
  4. Step 4: Simplify right side
    23,384.41x = 497,117,383.74
  5. Step 5: Solve for x
    x = 497,117,383.74/23,384.41
  6. Step 6: Final answer
    x = 21,258.50

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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.