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Finding the Fourth Proportional to 14,234.10, 19,642.65 and 7,946.34

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Solution

The fourth proportional to 14,234.10, 19,642.65 and 7,946.34 is: 10,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.10 : 19,642.65 = 7,946.34 : x
  2. Step 2: Convert to fraction form
    14,234.10/19,642.65 = 7,946.34/x
  3. Step 3: Cross multiply
    14,234.10x = 19,642.65 × 7,946.34
  4. Step 4: Simplify right side
    14,234.10x = 156,087,175.40
  5. Step 5: Solve for x
    x = 156,087,175.40/14,234.10
  6. Step 6: Final answer
    x = 10,965.72

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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.