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Finding the Fourth Proportional to 14,199.34, 19,595.10 and 8,234.47

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Solution

The fourth proportional to 14,199.34, 19,595.10 and 8,234.47 is: 11,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.34 : 19,595.10 = 8,234.47 : x
  2. Step 2: Convert to fraction form
    14,199.34/19,595.10 = 8,234.47/x
  3. Step 3: Cross multiply
    14,199.34x = 19,595.10 × 8,234.47
  4. Step 4: Simplify right side
    14,199.34x = 161,355,263.10
  5. Step 5: Solve for x
    x = 161,355,263.10/14,199.34
  6. Step 6: Final answer
    x = 11,363.57

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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.