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Finding the Fourth Proportional to 12,727.84, 17,567.76 and 7,140.64

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Solution

The fourth proportional to 12,727.84, 17,567.76 and 7,140.64 is: 9,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.84 : 17,567.76 = 7,140.64 : x
  2. Step 2: Convert to fraction form
    12,727.84/17,567.76 = 7,140.64/x
  3. Step 3: Cross multiply
    12,727.84x = 17,567.76 × 7,140.64
  4. Step 4: Simplify right side
    12,727.84x = 125,445,049.77
  5. Step 5: Solve for x
    x = 125,445,049.77/12,727.84
  6. Step 6: Final answer
    x = 9,855.96

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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.