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Finding the Fourth Proportional to 16,572, 22,849.92 and 11,848.32

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Solution

The fourth proportional to 16,572, 22,849.92 and 11,848.32 is: 16,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572 : 22,849.92 = 11,848.32 : x
  2. Step 2: Convert to fraction form
    16,572/22,849.92 = 11,848.32/x
  3. Step 3: Cross multiply
    16,572x = 22,849.92 × 11,848.32
  4. Step 4: Simplify right side
    16,572x = 270,733,164.13
  5. Step 5: Solve for x
    x = 270,733,164.13/16,572
  6. Step 6: Final answer
    x = 16,336.78

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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.