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Finding the Fourth Proportional to 16,663.32, 22,976.46 and 12,464.28

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Solution

The fourth proportional to 16,663.32, 22,976.46 and 12,464.28 is: 17,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663.32 : 22,976.46 = 12,464.28 : x
  2. Step 2: Convert to fraction form
    16,663.32/22,976.46 = 12,464.28/x
  3. Step 3: Cross multiply
    16,663.32x = 22,976.46 × 12,464.28
  4. Step 4: Simplify right side
    16,663.32x = 286,385,030.85
  5. Step 5: Solve for x
    x = 286,385,030.85/16,663.32
  6. Step 6: Final answer
    x = 17,186.55

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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.