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Finding the Fourth Proportional to 22,257, 30,714.66 and 12,321

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Solution

The fourth proportional to 22,257, 30,714.66 and 12,321 is: 17,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257 : 30,714.66 = 12,321 : x
  2. Step 2: Convert to fraction form
    22,257/30,714.66 = 12,321/x
  3. Step 3: Cross multiply
    22,257x = 30,714.66 × 12,321
  4. Step 4: Simplify right side
    22,257x = 378,435,325.86
  5. Step 5: Solve for x
    x = 378,435,325.86/22,257
  6. Step 6: Final answer
    x = 17,002.98

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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.