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Finding the Fourth Proportional to 22,470.46, 31,020.46 and 13,975.32

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Solution

The fourth proportional to 22,470.46, 31,020.46 and 13,975.32 is: 19,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.46 : 31,020.46 = 13,975.32 : x
  2. Step 2: Convert to fraction form
    22,470.46/31,020.46 = 13,975.32/x
  3. Step 3: Cross multiply
    22,470.46x = 31,020.46 × 13,975.32
  4. Step 4: Simplify right side
    22,470.46x = 433,520,712.45
  5. Step 5: Solve for x
    x = 433,520,712.45/22,470.46
  6. Step 6: Final answer
    x = 19,292.92

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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.