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Finding the Fourth Proportional to 12,607.75, 17,400.77 and 9,617.94

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Solution

The fourth proportional to 12,607.75, 17,400.77 and 9,617.94 is: 13,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.75 : 17,400.77 = 9,617.94 : x
  2. Step 2: Convert to fraction form
    12,607.75/17,400.77 = 9,617.94/x
  3. Step 3: Cross multiply
    12,607.75x = 17,400.77 × 9,617.94
  4. Step 4: Simplify right side
    12,607.75x = 167,359,603.89
  5. Step 5: Solve for x
    x = 167,359,603.89/12,607.75
  6. Step 6: Final answer
    x = 13,274.34

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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.