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Finding the Fourth Proportional to 23,822.50, 32,875.06 and 13,213.76

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Solution

The fourth proportional to 23,822.50, 32,875.06 and 13,213.76 is: 18,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.50 : 32,875.06 = 13,213.76 : x
  2. Step 2: Convert to fraction form
    23,822.50/32,875.06 = 13,213.76/x
  3. Step 3: Cross multiply
    23,822.50x = 32,875.06 × 13,213.76
  4. Step 4: Simplify right side
    23,822.50x = 434,403,152.83
  5. Step 5: Solve for x
    x = 434,403,152.83/23,822.50
  6. Step 6: Final answer
    x = 18,234.99

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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.