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Finding the Fourth Proportional to 16,260.96, 22,417.92 and 10,289.64

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Solution

The fourth proportional to 16,260.96, 22,417.92 and 10,289.64 is: 14,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.96 : 22,417.92 = 10,289.64 : x
  2. Step 2: Convert to fraction form
    16,260.96/22,417.92 = 10,289.64/x
  3. Step 3: Cross multiply
    16,260.96x = 22,417.92 × 10,289.64
  4. Step 4: Simplify right side
    16,260.96x = 230,672,326.35
  5. Step 5: Solve for x
    x = 230,672,326.35/16,260.96
  6. Step 6: Final answer
    x = 14,185.65

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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.