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Finding the Fourth Proportional to 23,491.86, 32,381.97 and 17,803.84

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Solution

The fourth proportional to 23,491.86, 32,381.97 and 17,803.84 is: 24,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.86 : 32,381.97 = 17,803.84 : x
  2. Step 2: Convert to fraction form
    23,491.86/32,381.97 = 17,803.84/x
  3. Step 3: Cross multiply
    23,491.86x = 32,381.97 × 17,803.84
  4. Step 4: Simplify right side
    23,491.86x = 576,523,412.76
  5. Step 5: Solve for x
    x = 576,523,412.76/23,491.86
  6. Step 6: Final answer
    x = 24,541.41

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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.