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Finding the Fourth Proportional to 12,862.96, 17,750.40 and 7,274.08

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Solution

The fourth proportional to 12,862.96, 17,750.40 and 7,274.08 is: 10,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.96 : 17,750.40 = 7,274.08 : x
  2. Step 2: Convert to fraction form
    12,862.96/17,750.40 = 7,274.08/x
  3. Step 3: Cross multiply
    12,862.96x = 17,750.40 × 7,274.08
  4. Step 4: Simplify right side
    12,862.96x = 129,117,829.63
  5. Step 5: Solve for x
    x = 129,117,829.63/12,862.96
  6. Step 6: Final answer
    x = 10,037.96

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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.