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Finding the Fourth Proportional to 12,411.50, 17,128.68 and 7,698.92

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Solution

The fourth proportional to 12,411.50, 17,128.68 and 7,698.92 is: 10,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.50 : 17,128.68 = 7,698.92 : x
  2. Step 2: Convert to fraction form
    12,411.50/17,128.68 = 7,698.92/x
  3. Step 3: Cross multiply
    12,411.50x = 17,128.68 × 7,698.92
  4. Step 4: Simplify right side
    12,411.50x = 131,872,337.03
  5. Step 5: Solve for x
    x = 131,872,337.03/12,411.50
  6. Step 6: Final answer
    x = 10,625.01

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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.