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Finding the Fourth Proportional to 11,864.64, 16,321.98 and 10,259.31

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Solution

The fourth proportional to 11,864.64, 16,321.98 and 10,259.31 is: 14,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.64 : 16,321.98 = 10,259.31 : x
  2. Step 2: Convert to fraction form
    11,864.64/16,321.98 = 10,259.31/x
  3. Step 3: Cross multiply
    11,864.64x = 16,321.98 × 10,259.31
  4. Step 4: Simplify right side
    11,864.64x = 167,452,252.63
  5. Step 5: Solve for x
    x = 167,452,252.63/11,864.64
  6. Step 6: Final answer
    x = 14,113.56

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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.