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Finding the Fourth Proportional to 12,661.31, 17,461.24 and 10,543.84

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Solution

The fourth proportional to 12,661.31, 17,461.24 and 10,543.84 is: 14,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.31 : 17,461.24 = 10,543.84 : x
  2. Step 2: Convert to fraction form
    12,661.31/17,461.24 = 10,543.84/x
  3. Step 3: Cross multiply
    12,661.31x = 17,461.24 × 10,543.84
  4. Step 4: Simplify right side
    12,661.31x = 184,108,450.75
  5. Step 5: Solve for x
    x = 184,108,450.75/12,661.31
  6. Step 6: Final answer
    x = 14,541.02

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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.