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Finding the Fourth Proportional to 16,438.95, 22,677.62 and 10,305.54

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Solution

The fourth proportional to 16,438.95, 22,677.62 and 10,305.54 is: 14,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.95 : 22,677.62 = 10,305.54 : x
  2. Step 2: Convert to fraction form
    16,438.95/22,677.62 = 10,305.54/x
  3. Step 3: Cross multiply
    16,438.95x = 22,677.62 × 10,305.54
  4. Step 4: Simplify right side
    16,438.95x = 233,705,068.49
  5. Step 5: Solve for x
    x = 233,705,068.49/16,438.95
  6. Step 6: Final answer
    x = 14,216.54

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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.