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Finding the Fourth Proportional to 11,647.97, 16,070.69 and 10,525.31

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Solution

The fourth proportional to 11,647.97, 16,070.69 and 10,525.31 is: 14,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.97 : 16,070.69 = 10,525.31 : x
  2. Step 2: Convert to fraction form
    11,647.97/16,070.69 = 10,525.31/x
  3. Step 3: Cross multiply
    11,647.97x = 16,070.69 × 10,525.31
  4. Step 4: Simplify right side
    11,647.97x = 169,148,861.18
  5. Step 5: Solve for x
    x = 169,148,861.18/11,647.97
  6. Step 6: Final answer
    x = 14,521.75

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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.