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Finding the Fourth Proportional to 23,521.83, 32,459.46 and 12,911.46

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Solution

The fourth proportional to 23,521.83, 32,459.46 and 12,911.46 is: 17,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.83 : 32,459.46 = 12,911.46 : x
  2. Step 2: Convert to fraction form
    23,521.83/32,459.46 = 12,911.46/x
  3. Step 3: Cross multiply
    23,521.83x = 32,459.46 × 12,911.46
  4. Step 4: Simplify right side
    23,521.83x = 419,099,019.41
  5. Step 5: Solve for x
    x = 419,099,019.41/23,521.83
  6. Step 6: Final answer
    x = 17,817.45

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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.