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Finding the Fourth Proportional to 12,938.60, 17,857.16 and 7,273.82

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Solution

The fourth proportional to 12,938.60, 17,857.16 and 7,273.82 is: 10,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.60 : 17,857.16 = 7,273.82 : x
  2. Step 2: Convert to fraction form
    12,938.60/17,857.16 = 7,273.82/x
  3. Step 3: Cross multiply
    12,938.60x = 17,857.16 × 7,273.82
  4. Step 4: Simplify right side
    12,938.60x = 129,889,641.90
  5. Step 5: Solve for x
    x = 129,889,641.90/12,938.60
  6. Step 6: Final answer
    x = 10,038.93

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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.