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Finding the Fourth Proportional to 12,742.42, 17,585.44 and 7,706.86

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Solution

The fourth proportional to 12,742.42, 17,585.44 and 7,706.86 is: 10,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.42 : 17,585.44 = 7,706.86 : x
  2. Step 2: Convert to fraction form
    12,742.42/17,585.44 = 7,706.86/x
  3. Step 3: Cross multiply
    12,742.42x = 17,585.44 × 7,706.86
  4. Step 4: Simplify right side
    12,742.42x = 135,528,524.12
  5. Step 5: Solve for x
    x = 135,528,524.12/12,742.42
  6. Step 6: Final answer
    x = 10,636.01

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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.