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Finding the Fourth Proportional to 12,701.46, 17,528.64 and 7,665.59

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Solution

The fourth proportional to 12,701.46, 17,528.64 and 7,665.59 is: 10,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.46 : 17,528.64 = 7,665.59 : x
  2. Step 2: Convert to fraction form
    12,701.46/17,528.64 = 7,665.59/x
  3. Step 3: Cross multiply
    12,701.46x = 17,528.64 × 7,665.59
  4. Step 4: Simplify right side
    12,701.46x = 134,367,329.17
  5. Step 5: Solve for x
    x = 134,367,329.17/12,701.46
  6. Step 6: Final answer
    x = 10,578.89

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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.