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Finding the Fourth Proportional to 14,297.78, 19,730.13 and 8,330.42

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Solution

The fourth proportional to 14,297.78, 19,730.13 and 8,330.42 is: 11,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.78 : 19,730.13 = 8,330.42 : x
  2. Step 2: Convert to fraction form
    14,297.78/19,730.13 = 8,330.42/x
  3. Step 3: Cross multiply
    14,297.78x = 19,730.13 × 8,330.42
  4. Step 4: Simplify right side
    14,297.78x = 164,360,269.55
  5. Step 5: Solve for x
    x = 164,360,269.55/14,297.78
  6. Step 6: Final answer
    x = 11,495.51

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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.