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Finding the Fourth Proportional to 23,050.24, 31,809.04 and 12,978.72

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Solution

The fourth proportional to 23,050.24, 31,809.04 and 12,978.72 is: 17,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.24 : 31,809.04 = 12,978.72 : x
  2. Step 2: Convert to fraction form
    23,050.24/31,809.04 = 12,978.72/x
  3. Step 3: Cross multiply
    23,050.24x = 31,809.04 × 12,978.72
  4. Step 4: Simplify right side
    23,050.24x = 412,840,623.63
  5. Step 5: Solve for x
    x = 412,840,623.63/23,050.24
  6. Step 6: Final answer
    x = 17,910.47

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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.