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Finding the Fourth Proportional to 10,515.96, 14,424.96 and 10,297.20

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Solution

The fourth proportional to 10,515.96, 14,424.96 and 10,297.20 is: 14,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.96 : 14,424.96 = 10,297.20 : x
  2. Step 2: Convert to fraction form
    10,515.96/14,424.96 = 10,297.20/x
  3. Step 3: Cross multiply
    10,515.96x = 14,424.96 × 10,297.20
  4. Step 4: Simplify right side
    10,515.96x = 148,536,698.11
  5. Step 5: Solve for x
    x = 148,536,698.11/10,515.96
  6. Step 6: Final answer
    x = 14,124.88

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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.