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Finding the Fourth Proportional to 23,049, 31,807.44 and 12,977.52

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Solution

The fourth proportional to 23,049, 31,807.44 and 12,977.52 is: 17,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049 : 31,807.44 = 12,977.52 : x
  2. Step 2: Convert to fraction form
    23,049/31,807.44 = 12,977.52/x
  3. Step 3: Cross multiply
    23,049x = 31,807.44 × 12,977.52
  4. Step 4: Simplify right side
    23,049x = 412,781,688.75
  5. Step 5: Solve for x
    x = 412,781,688.75/23,049
  6. Step 6: Final answer
    x = 17,908.88

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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.