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Finding the Fourth Proportional to 23,474.38, 32,394.64 and 14,045.16

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Solution

The fourth proportional to 23,474.38, 32,394.64 and 14,045.16 is: 19,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.38 : 32,394.64 = 14,045.16 : x
  2. Step 2: Convert to fraction form
    23,474.38/32,394.64 = 14,045.16/x
  3. Step 3: Cross multiply
    23,474.38x = 32,394.64 × 14,045.16
  4. Step 4: Simplify right side
    23,474.38x = 454,987,901.94
  5. Step 5: Solve for x
    x = 454,987,901.94/23,474.38
  6. Step 6: Final answer
    x = 19,382.32

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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.