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Finding the Fourth Proportional to 16,306.64, 22,506.66 and 9,935.30

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Solution

The fourth proportional to 16,306.64, 22,506.66 and 9,935.30 is: 13,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.64 : 22,506.66 = 9,935.30 : x
  2. Step 2: Convert to fraction form
    16,306.64/22,506.66 = 9,935.30/x
  3. Step 3: Cross multiply
    16,306.64x = 22,506.66 × 9,935.30
  4. Step 4: Simplify right side
    16,306.64x = 223,610,306.56
  5. Step 5: Solve for x
    x = 223,610,306.56/16,306.64
  6. Step 6: Final answer
    x = 13,712.84

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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.