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Finding the Fourth Proportional to 16,940, 23,377.20 and 10,316

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Solution

The fourth proportional to 16,940, 23,377.20 and 10,316 is: 14,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 23,377.20 = 10,316 : x
  2. Step 2: Convert to fraction form
    16,940/23,377.20 = 10,316/x
  3. Step 3: Cross multiply
    16,940x = 23,377.20 × 10,316
  4. Step 4: Simplify right side
    16,940x = 241,159,195.20
  5. Step 5: Solve for x
    x = 241,159,195.20/16,940
  6. Step 6: Final answer
    x = 14,236.08

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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.