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Finding the Fourth Proportional to 16,902.93, 23,328 and 10,191.99

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Solution

The fourth proportional to 16,902.93, 23,328 and 10,191.99 is: 14,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.93 : 23,328 = 10,191.99 : x
  2. Step 2: Convert to fraction form
    16,902.93/23,328 = 10,191.99/x
  3. Step 3: Cross multiply
    16,902.93x = 23,328 × 10,191.99
  4. Step 4: Simplify right side
    16,902.93x = 237,758,742.72
  5. Step 5: Solve for x
    x = 237,758,742.72/16,902.93
  6. Step 6: Final answer
    x = 14,066.13

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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.