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Finding the Fourth Proportional to 10,254.98, 14,137.40 and 10,114.58

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Solution

The fourth proportional to 10,254.98, 14,137.40 and 10,114.58 is: 13,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.98 : 14,137.40 = 10,114.58 : x
  2. Step 2: Convert to fraction form
    10,254.98/14,137.40 = 10,114.58/x
  3. Step 3: Cross multiply
    10,254.98x = 14,137.40 × 10,114.58
  4. Step 4: Simplify right side
    10,254.98x = 142,993,863.29
  5. Step 5: Solve for x
    x = 142,993,863.29/10,254.98
  6. Step 6: Final answer
    x = 13,943.85

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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.