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Finding the Fourth Proportional to 12,199, 16,834.62 and 10,303

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Solution

The fourth proportional to 12,199, 16,834.62 and 10,303 is: 14,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199 : 16,834.62 = 10,303 : x
  2. Step 2: Convert to fraction form
    12,199/16,834.62 = 10,303/x
  3. Step 3: Cross multiply
    12,199x = 16,834.62 × 10,303
  4. Step 4: Simplify right side
    12,199x = 173,447,089.86
  5. Step 5: Solve for x
    x = 173,447,089.86/12,199
  6. Step 6: Final answer
    x = 14,218.14

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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.