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Finding the Fourth Proportional to 23,582.42, 32,544.01 and 12,972.13

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Solution

The fourth proportional to 23,582.42, 32,544.01 and 12,972.13 is: 17,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.42 : 32,544.01 = 12,972.13 : x
  2. Step 2: Convert to fraction form
    23,582.42/32,544.01 = 12,972.13/x
  3. Step 3: Cross multiply
    23,582.42x = 32,544.01 × 12,972.13
  4. Step 4: Simplify right side
    23,582.42x = 422,165,128.44
  5. Step 5: Solve for x
    x = 422,165,128.44/23,582.42
  6. Step 6: Final answer
    x = 17,901.69

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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.