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Finding the Fourth Proportional to 14,416.50, 19,894.80 and 8,129.10

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Solution

The fourth proportional to 14,416.50, 19,894.80 and 8,129.10 is: 11,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.50 : 19,894.80 = 8,129.10 : x
  2. Step 2: Convert to fraction form
    14,416.50/19,894.80 = 8,129.10/x
  3. Step 3: Cross multiply
    14,416.50x = 19,894.80 × 8,129.10
  4. Step 4: Simplify right side
    14,416.50x = 161,726,818.68
  5. Step 5: Solve for x
    x = 161,726,818.68/14,416.50
  6. Step 6: Final answer
    x = 11,218.17

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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.