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Finding the Fourth Proportional to 16,077, 22,186.32 and 10,488

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Solution

The fourth proportional to 16,077, 22,186.32 and 10,488 is: 14,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 22,186.32 = 10,488 : x
  2. Step 2: Convert to fraction form
    16,077/22,186.32 = 10,488/x
  3. Step 3: Cross multiply
    16,077x = 22,186.32 × 10,488
  4. Step 4: Simplify right side
    16,077x = 232,690,124.16
  5. Step 5: Solve for x
    x = 232,690,124.16/16,077
  6. Step 6: Final answer
    x = 14,473.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.