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Finding the Fourth Proportional to 10,401.80, 14,281.90 and 10,131.08

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Solution

The fourth proportional to 10,401.80, 14,281.90 and 10,131.08 is: 13,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.80 : 14,281.90 = 10,131.08 : x
  2. Step 2: Convert to fraction form
    10,401.80/14,281.90 = 10,131.08/x
  3. Step 3: Cross multiply
    10,401.80x = 14,281.90 × 10,131.08
  4. Step 4: Simplify right side
    10,401.80x = 144,691,071.45
  5. Step 5: Solve for x
    x = 144,691,071.45/10,401.80
  6. Step 6: Final answer
    x = 13,910.20

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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.