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Finding the Fourth Proportional to 12,812.13, 17,680.73 and 7,223.13

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Solution

The fourth proportional to 12,812.13, 17,680.73 and 7,223.13 is: 9,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.13 : 17,680.73 = 7,223.13 : x
  2. Step 2: Convert to fraction form
    12,812.13/17,680.73 = 7,223.13/x
  3. Step 3: Cross multiply
    12,812.13x = 17,680.73 × 7,223.13
  4. Step 4: Simplify right side
    12,812.13x = 127,710,211.28
  5. Step 5: Solve for x
    x = 127,710,211.28/12,812.13
  6. Step 6: Final answer
    x = 9,967.91

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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.