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Finding the Fourth Proportional to 14,297.41, 19,730.51 and 8,333.20

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Solution

The fourth proportional to 14,297.41, 19,730.51 and 8,333.20 is: 11,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.41 : 19,730.51 = 8,333.20 : x
  2. Step 2: Convert to fraction form
    14,297.41/19,730.51 = 8,333.20/x
  3. Step 3: Cross multiply
    14,297.41x = 19,730.51 × 8,333.20
  4. Step 4: Simplify right side
    14,297.41x = 164,418,285.93
  5. Step 5: Solve for x
    x = 164,418,285.93/14,297.41
  6. Step 6: Final answer
    x = 11,499.87

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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.