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Finding the Fourth Proportional to 12,132.63, 16,743.02 and 6,827.45

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Solution

The fourth proportional to 12,132.63, 16,743.02 and 6,827.45 is: 9,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.63 : 16,743.02 = 6,827.45 : x
  2. Step 2: Convert to fraction form
    12,132.63/16,743.02 = 6,827.45/x
  3. Step 3: Cross multiply
    12,132.63x = 16,743.02 × 6,827.45
  4. Step 4: Simplify right side
    12,132.63x = 114,312,190.83
  5. Step 5: Solve for x
    x = 114,312,190.83/12,132.63
  6. Step 6: Final answer
    x = 9,421.88

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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.