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Finding the Fourth Proportional to 12,835.62, 17,712.94 and 7,170.46

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Solution

The fourth proportional to 12,835.62, 17,712.94 and 7,170.46 is: 9,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.62 : 17,712.94 = 7,170.46 : x
  2. Step 2: Convert to fraction form
    12,835.62/17,712.94 = 7,170.46/x
  3. Step 3: Cross multiply
    12,835.62x = 17,712.94 × 7,170.46
  4. Step 4: Simplify right side
    12,835.62x = 127,009,927.75
  5. Step 5: Solve for x
    x = 127,009,927.75/12,835.62
  6. Step 6: Final answer
    x = 9,895.11

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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.