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Finding the Fourth Proportional to 12,665.57, 17,478.36 and 7,000.70

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Solution

The fourth proportional to 12,665.57, 17,478.36 and 7,000.70 is: 9,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.57 : 17,478.36 = 7,000.70 : x
  2. Step 2: Convert to fraction form
    12,665.57/17,478.36 = 7,000.70/x
  3. Step 3: Cross multiply
    12,665.57x = 17,478.36 × 7,000.70
  4. Step 4: Simplify right side
    12,665.57x = 122,360,667.46
  5. Step 5: Solve for x
    x = 122,360,667.46/12,665.57
  6. Step 6: Final answer
    x = 9,660.89

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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.