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Finding the Fourth Proportional to 19,412, 26,792.88 and 12,337.04

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Solution

The fourth proportional to 19,412, 26,792.88 and 12,337.04 is: 17,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 26,792.88 = 12,337.04 : x
  2. Step 2: Convert to fraction form
    19,412/26,792.88 = 12,337.04/x
  3. Step 3: Cross multiply
    19,412x = 26,792.88 × 12,337.04
  4. Step 4: Simplify right side
    19,412x = 330,544,832.28
  5. Step 5: Solve for x
    x = 330,544,832.28/19,412
  6. Step 6: Final answer
    x = 17,027.86

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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.