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Finding the Fourth Proportional to 23,903.91, 32,992.95 and 13,838.24

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Solution

The fourth proportional to 23,903.91, 32,992.95 and 13,838.24 is: 19,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.91 : 32,992.95 = 13,838.24 : x
  2. Step 2: Convert to fraction form
    23,903.91/32,992.95 = 13,838.24/x
  3. Step 3: Cross multiply
    23,903.91x = 32,992.95 × 13,838.24
  4. Step 4: Simplify right side
    23,903.91x = 456,564,378.02
  5. Step 5: Solve for x
    x = 456,564,378.02/23,903.91
  6. Step 6: Final answer
    x = 19,099.99

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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.