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Finding the Fourth Proportional to 12,132.28, 16,742.55 and 6,827.14

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Solution

The fourth proportional to 12,132.28, 16,742.55 and 6,827.14 is: 9,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.28 : 16,742.55 = 6,827.14 : x
  2. Step 2: Convert to fraction form
    12,132.28/16,742.55 = 6,827.14/x
  3. Step 3: Cross multiply
    12,132.28x = 16,742.55 × 6,827.14
  4. Step 4: Simplify right side
    12,132.28x = 114,303,646.76
  5. Step 5: Solve for x
    x = 114,303,646.76/12,132.28
  6. Step 6: Final answer
    x = 9,421.45

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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.