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Finding the Fourth Proportional to 23,520.90, 32,459.21 and 12,911.50

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Solution

The fourth proportional to 23,520.90, 32,459.21 and 12,911.50 is: 17,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.90 : 32,459.21 = 12,911.50 : x
  2. Step 2: Convert to fraction form
    23,520.90/32,459.21 = 12,911.50/x
  3. Step 3: Cross multiply
    23,520.90x = 32,459.21 × 12,911.50
  4. Step 4: Simplify right side
    23,520.90x = 419,097,089.92
  5. Step 5: Solve for x
    x = 419,097,089.92/23,520.90
  6. Step 6: Final answer
    x = 17,818.07

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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.