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Finding the Fourth Proportional to 23,749.84, 32,772.90 and 14,807.44

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Solution

The fourth proportional to 23,749.84, 32,772.90 and 14,807.44 is: 20,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.84 : 32,772.90 = 14,807.44 : x
  2. Step 2: Convert to fraction form
    23,749.84/32,772.90 = 14,807.44/x
  3. Step 3: Cross multiply
    23,749.84x = 32,772.90 × 14,807.44
  4. Step 4: Simplify right side
    23,749.84x = 485,282,750.38
  5. Step 5: Solve for x
    x = 485,282,750.38/23,749.84
  6. Step 6: Final answer
    x = 20,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.