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Finding the Fourth Proportional to 23,138.96, 31,932.07 and 14,061.74

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Solution

The fourth proportional to 23,138.96, 31,932.07 and 14,061.74 is: 19,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.96 : 31,932.07 = 14,061.74 : x
  2. Step 2: Convert to fraction form
    23,138.96/31,932.07 = 14,061.74/x
  3. Step 3: Cross multiply
    23,138.96x = 31,932.07 × 14,061.74
  4. Step 4: Simplify right side
    23,138.96x = 449,020,271.19
  5. Step 5: Solve for x
    x = 449,020,271.19/23,138.96
  6. Step 6: Final answer
    x = 19,405.38

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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.