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Finding the Fourth Proportional to 14,242.30, 19,656.94 and 8,500.12

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Solution

The fourth proportional to 14,242.30, 19,656.94 and 8,500.12 is: 11,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.30 : 19,656.94 = 8,500.12 : x
  2. Step 2: Convert to fraction form
    14,242.30/19,656.94 = 8,500.12/x
  3. Step 3: Cross multiply
    14,242.30x = 19,656.94 × 8,500.12
  4. Step 4: Simplify right side
    14,242.30x = 167,086,348.83
  5. Step 5: Solve for x
    x = 167,086,348.83/14,242.30
  6. Step 6: Final answer
    x = 11,731.70

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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.