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Finding the Fourth Proportional to 21,624.57, 32,461.46 and 14,514.09

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Solution

The fourth proportional to 21,624.57, 32,461.46 and 14,514.09 is: 21,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.57 : 32,461.46 = 14,514.09 : x
  2. Step 2: Convert to fraction form
    21,624.57/32,461.46 = 14,514.09/x
  3. Step 3: Cross multiply
    21,624.57x = 32,461.46 × 14,514.09
  4. Step 4: Simplify right side
    21,624.57x = 471,148,412.10
  5. Step 5: Solve for x
    x = 471,148,412.10/21,624.57
  6. Step 6: Final answer
    x = 21,787.64

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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.