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Finding the Fourth Proportional to 12,574.76, 17,353.78 and 7,270.07

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Solution

The fourth proportional to 12,574.76, 17,353.78 and 7,270.07 is: 10,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.76 : 17,353.78 = 7,270.07 : x
  2. Step 2: Convert to fraction form
    12,574.76/17,353.78 = 7,270.07/x
  3. Step 3: Cross multiply
    12,574.76x = 17,353.78 × 7,270.07
  4. Step 4: Simplify right side
    12,574.76x = 126,163,090.42
  5. Step 5: Solve for x
    x = 126,163,090.42/12,574.76
  6. Step 6: Final answer
    x = 10,033.05

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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.