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Finding the Fourth Proportional to 12,385.92, 17,088.39 and 7,076.98

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Solution

The fourth proportional to 12,385.92, 17,088.39 and 7,076.98 is: 9,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.92 : 17,088.39 = 7,076.98 : x
  2. Step 2: Convert to fraction form
    12,385.92/17,088.39 = 7,076.98/x
  3. Step 3: Cross multiply
    12,385.92x = 17,088.39 × 7,076.98
  4. Step 4: Simplify right side
    12,385.92x = 120,934,194.26
  5. Step 5: Solve for x
    x = 120,934,194.26/12,385.92
  6. Step 6: Final answer
    x = 9,763.84

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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.