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Finding the Fourth Proportional to 23,444.66, 32,353.69 and 12,834.98

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Solution

The fourth proportional to 23,444.66, 32,353.69 and 12,834.98 is: 17,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.66 : 32,353.69 = 12,834.98 : x
  2. Step 2: Convert to fraction form
    23,444.66/32,353.69 = 12,834.98/x
  3. Step 3: Cross multiply
    23,444.66x = 32,353.69 × 12,834.98
  4. Step 4: Simplify right side
    23,444.66x = 415,258,770.22
  5. Step 5: Solve for x
    x = 415,258,770.22/23,444.66
  6. Step 6: Final answer
    x = 17,712.29

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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.