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Finding the Fourth Proportional to 16,464.50, 22,721.37 and 9,012.50

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Solution

The fourth proportional to 16,464.50, 22,721.37 and 9,012.50 is: 12,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.50 : 22,721.37 = 9,012.50 : x
  2. Step 2: Convert to fraction form
    16,464.50/22,721.37 = 9,012.50/x
  3. Step 3: Cross multiply
    16,464.50x = 22,721.37 × 9,012.50
  4. Step 4: Simplify right side
    16,464.50x = 204,776,347.13
  5. Step 5: Solve for x
    x = 204,776,347.13/16,464.50
  6. Step 6: Final answer
    x = 12,437.45

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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.