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Finding the Fourth Proportional to 12,894.12, 17,792.28 and 7,228.35

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Solution

The fourth proportional to 12,894.12, 17,792.28 and 7,228.35 is: 9,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.12 : 17,792.28 = 7,228.35 : x
  2. Step 2: Convert to fraction form
    12,894.12/17,792.28 = 7,228.35/x
  3. Step 3: Cross multiply
    12,894.12x = 17,792.28 × 7,228.35
  4. Step 4: Simplify right side
    12,894.12x = 128,608,827.14
  5. Step 5: Solve for x
    x = 128,608,827.14/12,894.12
  6. Step 6: Final answer
    x = 9,974.22

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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.