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Finding the Fourth Proportional to 12,573.75, 17,350.47 and 7,270.26

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Solution

The fourth proportional to 12,573.75, 17,350.47 and 7,270.26 is: 10,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.75 : 17,350.47 = 7,270.26 : x
  2. Step 2: Convert to fraction form
    12,573.75/17,350.47 = 7,270.26/x
  3. Step 3: Cross multiply
    12,573.75x = 17,350.47 × 7,270.26
  4. Step 4: Simplify right side
    12,573.75x = 126,142,428.02
  5. Step 5: Solve for x
    x = 126,142,428.02/12,573.75
  6. Step 6: Final answer
    x = 10,032.20

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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.