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Finding the Fourth Proportional to 12,429.64, 18,622.59 and 11,689.71

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Solution

The fourth proportional to 12,429.64, 18,622.59 and 11,689.71 is: 17,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.64 : 18,622.59 = 11,689.71 : x
  2. Step 2: Convert to fraction form
    12,429.64/18,622.59 = 11,689.71/x
  3. Step 3: Cross multiply
    12,429.64x = 18,622.59 × 11,689.71
  4. Step 4: Simplify right side
    12,429.64x = 217,692,676.55
  5. Step 5: Solve for x
    x = 217,692,676.55/12,429.64
  6. Step 6: Final answer
    x = 17,514.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.