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Finding the Fourth Proportional to 22,928.81, 31,641.08 and 13,973.04

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Solution

The fourth proportional to 22,928.81, 31,641.08 and 13,973.04 is: 19,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928.81 : 31,641.08 = 13,973.04 : x
  2. Step 2: Convert to fraction form
    22,928.81/31,641.08 = 13,973.04/x
  3. Step 3: Cross multiply
    22,928.81x = 31,641.08 × 13,973.04
  4. Step 4: Simplify right side
    22,928.81x = 442,122,006.62
  5. Step 5: Solve for x
    x = 442,122,006.62/22,928.81
  6. Step 6: Final answer
    x = 19,282.38

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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.