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Finding the Fourth Proportional to 12,300.17, 18,434.67 and 7,856.12

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Solution

The fourth proportional to 12,300.17, 18,434.67 and 7,856.12 is: 11,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.17 : 18,434.67 = 7,856.12 : x
  2. Step 2: Convert to fraction form
    12,300.17/18,434.67 = 7,856.12/x
  3. Step 3: Cross multiply
    12,300.17x = 18,434.67 × 7,856.12
  4. Step 4: Simplify right side
    12,300.17x = 144,824,996.31
  5. Step 5: Solve for x
    x = 144,824,996.31/12,300.17
  6. Step 6: Final answer
    x = 11,774.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.