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Finding the Fourth Proportional to 16,486.46, 22,751.75 and 9,773.58

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Solution

The fourth proportional to 16,486.46, 22,751.75 and 9,773.58 is: 13,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.46 : 22,751.75 = 9,773.58 : x
  2. Step 2: Convert to fraction form
    16,486.46/22,751.75 = 9,773.58/x
  3. Step 3: Cross multiply
    16,486.46x = 22,751.75 × 9,773.58
  4. Step 4: Simplify right side
    16,486.46x = 222,366,048.77
  5. Step 5: Solve for x
    x = 222,366,048.77/16,486.46
  6. Step 6: Final answer
    x = 13,487.80

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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.