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Finding the Fourth Proportional to 16,352.50, 22,566.45 and 8,900.50

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Solution

The fourth proportional to 16,352.50, 22,566.45 and 8,900.50 is: 12,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.50 : 22,566.45 = 8,900.50 : x
  2. Step 2: Convert to fraction form
    16,352.50/22,566.45 = 8,900.50/x
  3. Step 3: Cross multiply
    16,352.50x = 22,566.45 × 8,900.50
  4. Step 4: Simplify right side
    16,352.50x = 200,852,688.23
  5. Step 5: Solve for x
    x = 200,852,688.23/16,352.50
  6. Step 6: Final answer
    x = 12,282.69

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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.