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Finding the Fourth Proportional to 10,257.80, 14,063.43 and 10,070.96

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Solution

The fourth proportional to 10,257.80, 14,063.43 and 10,070.96 is: 13,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.80 : 14,063.43 = 10,070.96 : x
  2. Step 2: Convert to fraction form
    10,257.80/14,063.43 = 10,070.96/x
  3. Step 3: Cross multiply
    10,257.80x = 14,063.43 × 10,070.96
  4. Step 4: Simplify right side
    10,257.80x = 141,632,240.99
  5. Step 5: Solve for x
    x = 141,632,240.99/10,257.80
  6. Step 6: Final answer
    x = 13,807.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.