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Finding the Fourth Proportional to 24,590.32, 33,934.74 and 13,982.16

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Solution

The fourth proportional to 24,590.32, 33,934.74 and 13,982.16 is: 19,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.32 : 33,934.74 = 13,982.16 : x
  2. Step 2: Convert to fraction form
    24,590.32/33,934.74 = 13,982.16/x
  3. Step 3: Cross multiply
    24,590.32x = 33,934.74 × 13,982.16
  4. Step 4: Simplify right side
    24,590.32x = 474,480,964.24
  5. Step 5: Solve for x
    x = 474,480,964.24/24,590.32
  6. Step 6: Final answer
    x = 19,295.44

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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.