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Finding the Fourth Proportional to 14,416.89, 19,895.99 and 8,129.13

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Solution

The fourth proportional to 14,416.89, 19,895.99 and 8,129.13 is: 11,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.89 : 19,895.99 = 8,129.13 : x
  2. Step 2: Convert to fraction form
    14,416.89/19,895.99 = 8,129.13/x
  3. Step 3: Cross multiply
    14,416.89x = 19,895.99 × 8,129.13
  4. Step 4: Simplify right side
    14,416.89x = 161,737,089.19
  5. Step 5: Solve for x
    x = 161,737,089.19/14,416.89
  6. Step 6: Final answer
    x = 11,218.58

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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.