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Finding the Fourth Proportional to 21,582.65, 29,780.10 and 12,022.30

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Solution

The fourth proportional to 21,582.65, 29,780.10 and 12,022.30 is: 16,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.65 : 29,780.10 = 12,022.30 : x
  2. Step 2: Convert to fraction form
    21,582.65/29,780.10 = 12,022.30/x
  3. Step 3: Cross multiply
    21,582.65x = 29,780.10 × 12,022.30
  4. Step 4: Simplify right side
    21,582.65x = 358,025,147.02
  5. Step 5: Solve for x
    x = 358,025,147.02/21,582.65
  6. Step 6: Final answer
    x = 16,588.57

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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.