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Finding the Fourth Proportional to 23,040.27, 31,798.64 and 12,970.69

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Solution

The fourth proportional to 23,040.27, 31,798.64 and 12,970.69 is: 17,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.27 : 31,798.64 = 12,970.69 : x
  2. Step 2: Convert to fraction form
    23,040.27/31,798.64 = 12,970.69/x
  3. Step 3: Cross multiply
    23,040.27x = 31,798.64 × 12,970.69
  4. Step 4: Simplify right side
    23,040.27x = 412,450,254.79
  5. Step 5: Solve for x
    x = 412,450,254.79/23,040.27
  6. Step 6: Final answer
    x = 17,901.28

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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.