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Finding the Fourth Proportional to 16,464.49, 22,719.56 and 9,748.91

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Solution

The fourth proportional to 16,464.49, 22,719.56 and 9,748.91 is: 13,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.49 : 22,719.56 = 9,748.91 : x
  2. Step 2: Convert to fraction form
    16,464.49/22,719.56 = 9,748.91/x
  3. Step 3: Cross multiply
    16,464.49x = 22,719.56 × 9,748.91
  4. Step 4: Simplify right side
    16,464.49x = 221,490,953.73
  5. Step 5: Solve for x
    x = 221,490,953.73/16,464.49
  6. Step 6: Final answer
    x = 13,452.65

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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.