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Finding the Fourth Proportional to 12,199.84, 16,771.14 and 10,492.10

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Solution

The fourth proportional to 12,199.84, 16,771.14 and 10,492.10 is: 14,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.84 : 16,771.14 = 10,492.10 : x
  2. Step 2: Convert to fraction form
    12,199.84/16,771.14 = 10,492.10/x
  3. Step 3: Cross multiply
    12,199.84x = 16,771.14 × 10,492.10
  4. Step 4: Simplify right side
    12,199.84x = 175,964,477.99
  5. Step 5: Solve for x
    x = 175,964,477.99/12,199.84
  6. Step 6: Final answer
    x = 14,423.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.