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Finding the Fourth Proportional to 17,142, 25,706.32 and 7,281.68

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Solution

The fourth proportional to 17,142, 25,706.32 and 7,281.68 is: 10,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142 : 25,706.32 = 7,281.68 : x
  2. Step 2: Convert to fraction form
    17,142/25,706.32 = 7,281.68/x
  3. Step 3: Cross multiply
    17,142x = 25,706.32 × 7,281.68
  4. Step 4: Simplify right side
    17,142x = 187,185,196.22
  5. Step 5: Solve for x
    x = 187,185,196.22/17,142
  6. Step 6: Final answer
    x = 10,919.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.