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Finding the Fourth Proportional to 12,926.40, 17,837.76 and 7,260.42

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Solution

The fourth proportional to 12,926.40, 17,837.76 and 7,260.42 is: 10,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.40 : 17,837.76 = 7,260.42 : x
  2. Step 2: Convert to fraction form
    12,926.40/17,837.76 = 7,260.42/x
  3. Step 3: Cross multiply
    12,926.40x = 17,837.76 × 7,260.42
  4. Step 4: Simplify right side
    12,926.40x = 129,509,629.46
  5. Step 5: Solve for x
    x = 129,509,629.46/12,926.40
  6. Step 6: Final answer
    x = 10,019.00

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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.