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Finding the Fourth Proportional to 12,348.56, 17,038.68 and 7,311.44

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Solution

The fourth proportional to 12,348.56, 17,038.68 and 7,311.44 is: 10,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.56 : 17,038.68 = 7,311.44 : x
  2. Step 2: Convert to fraction form
    12,348.56/17,038.68 = 7,311.44/x
  3. Step 3: Cross multiply
    12,348.56x = 17,038.68 × 7,311.44
  4. Step 4: Simplify right side
    12,348.56x = 124,577,286.50
  5. Step 5: Solve for x
    x = 124,577,286.50/12,348.56
  6. Step 6: Final answer
    x = 10,088.41

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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.