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Finding the Fourth Proportional to 12,812.22, 17,681.67 and 7,223.58

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Solution

The fourth proportional to 12,812.22, 17,681.67 and 7,223.58 is: 9,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.22 : 17,681.67 = 7,223.58 : x
  2. Step 2: Convert to fraction form
    12,812.22/17,681.67 = 7,223.58/x
  3. Step 3: Cross multiply
    12,812.22x = 17,681.67 × 7,223.58
  4. Step 4: Simplify right side
    12,812.22x = 127,724,957.78
  5. Step 5: Solve for x
    x = 127,724,957.78/12,812.22
  6. Step 6: Final answer
    x = 9,969.00

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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.