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Finding the Fourth Proportional to 21,980.34, 30,335.04 and 12,550.32

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Solution

The fourth proportional to 21,980.34, 30,335.04 and 12,550.32 is: 17,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.34 : 30,335.04 = 12,550.32 : x
  2. Step 2: Convert to fraction form
    21,980.34/30,335.04 = 12,550.32/x
  3. Step 3: Cross multiply
    21,980.34x = 30,335.04 × 12,550.32
  4. Step 4: Simplify right side
    21,980.34x = 380,714,459.21
  5. Step 5: Solve for x
    x = 380,714,459.21/21,980.34
  6. Step 6: Final answer
    x = 17,320.68

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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.