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Finding the Fourth Proportional to 12,572.58, 17,348.12 and 7,266.46

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Solution

The fourth proportional to 12,572.58, 17,348.12 and 7,266.46 is: 10,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.58 : 17,348.12 = 7,266.46 : x
  2. Step 2: Convert to fraction form
    12,572.58/17,348.12 = 7,266.46/x
  3. Step 3: Cross multiply
    12,572.58x = 17,348.12 × 7,266.46
  4. Step 4: Simplify right side
    12,572.58x = 126,059,420.06
  5. Step 5: Solve for x
    x = 126,059,420.06/12,572.58
  6. Step 6: Final answer
    x = 10,026.54

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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.