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Finding the Fourth Proportional to 16,334.73, 22,541.09 and 9,261.63

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Solution

The fourth proportional to 16,334.73, 22,541.09 and 9,261.63 is: 12,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.73 : 22,541.09 = 9,261.63 : x
  2. Step 2: Convert to fraction form
    16,334.73/22,541.09 = 9,261.63/x
  3. Step 3: Cross multiply
    16,334.73x = 22,541.09 × 9,261.63
  4. Step 4: Simplify right side
    16,334.73x = 208,767,189.07
  5. Step 5: Solve for x
    x = 208,767,189.07/16,334.73
  6. Step 6: Final answer
    x = 12,780.57

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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.