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Finding the Fourth Proportional to 23,086.86, 31,838.74 and 15,133.47

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Solution

The fourth proportional to 23,086.86, 31,838.74 and 15,133.47 is: 20,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.86 : 31,838.74 = 15,133.47 : x
  2. Step 2: Convert to fraction form
    23,086.86/31,838.74 = 15,133.47/x
  3. Step 3: Cross multiply
    23,086.86x = 31,838.74 × 15,133.47
  4. Step 4: Simplify right side
    23,086.86x = 481,830,616.63
  5. Step 5: Solve for x
    x = 481,830,616.63/23,086.86
  6. Step 6: Final answer
    x = 20,870.34

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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.