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Finding the Fourth Proportional to 12,931.70, 17,844.57 and 7,266.42

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Solution

The fourth proportional to 12,931.70, 17,844.57 and 7,266.42 is: 10,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.70 : 17,844.57 = 7,266.42 : x
  2. Step 2: Convert to fraction form
    12,931.70/17,844.57 = 7,266.42/x
  3. Step 3: Cross multiply
    12,931.70x = 17,844.57 × 7,266.42
  4. Step 4: Simplify right side
    12,931.70x = 129,666,140.34
  5. Step 5: Solve for x
    x = 129,666,140.34/12,931.70
  6. Step 6: Final answer
    x = 10,027.00

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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.