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Finding the Fourth Proportional to 12,195.63, 16,841.93 and 10,416.87

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Solution

The fourth proportional to 12,195.63, 16,841.93 and 10,416.87 is: 14,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.63 : 16,841.93 = 10,416.87 : x
  2. Step 2: Convert to fraction form
    12,195.63/16,841.93 = 10,416.87/x
  3. Step 3: Cross multiply
    12,195.63x = 16,841.93 × 10,416.87
  4. Step 4: Simplify right side
    12,195.63x = 175,440,143.27
  5. Step 5: Solve for x
    x = 175,440,143.27/12,195.63
  6. Step 6: Final answer
    x = 14,385.49

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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.