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Finding the Fourth Proportional to 17,140.68, 23,652 and 10,066.95

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Solution

The fourth proportional to 17,140.68, 23,652 and 10,066.95 is: 13,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.68 : 23,652 = 10,066.95 : x
  2. Step 2: Convert to fraction form
    17,140.68/23,652 = 10,066.95/x
  3. Step 3: Cross multiply
    17,140.68x = 23,652 × 10,066.95
  4. Step 4: Simplify right side
    17,140.68x = 238,103,501.40
  5. Step 5: Solve for x
    x = 238,103,501.40/17,140.68
  6. Step 6: Final answer
    x = 13,891.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.