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Finding the Fourth Proportional to 23,193.01, 32,006.33 and 12,582.68

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Solution

The fourth proportional to 23,193.01, 32,006.33 and 12,582.68 is: 17,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.01 : 32,006.33 = 12,582.68 : x
  2. Step 2: Convert to fraction form
    23,193.01/32,006.33 = 12,582.68/x
  3. Step 3: Cross multiply
    23,193.01x = 32,006.33 × 12,582.68
  4. Step 4: Simplify right side
    23,193.01x = 402,725,472.65
  5. Step 5: Solve for x
    x = 402,725,472.65/23,193.01
  6. Step 6: Final answer
    x = 17,364.09

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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.