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Finding the Fourth Proportional to 16,034, 22,126.92 and 9,410

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Solution

The fourth proportional to 16,034, 22,126.92 and 9,410 is: 12,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034 : 22,126.92 = 9,410 : x
  2. Step 2: Convert to fraction form
    16,034/22,126.92 = 9,410/x
  3. Step 3: Cross multiply
    16,034x = 22,126.92 × 9,410
  4. Step 4: Simplify right side
    16,034x = 208,214,317.20
  5. Step 5: Solve for x
    x = 208,214,317.20/16,034
  6. Step 6: Final answer
    x = 12,985.80

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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.