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Finding the Fourth Proportional to 17,354.93, 23,952.38 and 10,184.54

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Solution

The fourth proportional to 17,354.93, 23,952.38 and 10,184.54 is: 14,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354.93 : 23,952.38 = 10,184.54 : x
  2. Step 2: Convert to fraction form
    17,354.93/23,952.38 = 10,184.54/x
  3. Step 3: Cross multiply
    17,354.93x = 23,952.38 × 10,184.54
  4. Step 4: Simplify right side
    17,354.93x = 243,943,801.52
  5. Step 5: Solve for x
    x = 243,943,801.52/17,354.93
  6. Step 6: Final answer
    x = 14,056.17

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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.