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Finding the Fourth Proportional to 14,129.29, 21,197.63 and 8,200.48

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Solution

The fourth proportional to 14,129.29, 21,197.63 and 8,200.48 is: 12,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.29 : 21,197.63 = 8,200.48 : x
  2. Step 2: Convert to fraction form
    14,129.29/21,197.63 = 8,200.48/x
  3. Step 3: Cross multiply
    14,129.29x = 21,197.63 × 8,200.48
  4. Step 4: Simplify right side
    14,129.29x = 173,830,740.86
  5. Step 5: Solve for x
    x = 173,830,740.86/14,129.29
  6. Step 6: Final answer
    x = 12,302.86

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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.