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Finding the Fourth Proportional to 22,271.25, 30,734.81 and 12,710.94

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Solution

The fourth proportional to 22,271.25, 30,734.81 and 12,710.94 is: 17,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.25 : 30,734.81 = 12,710.94 : x
  2. Step 2: Convert to fraction form
    22,271.25/30,734.81 = 12,710.94/x
  3. Step 3: Cross multiply
    22,271.25x = 30,734.81 × 12,710.94
  4. Step 4: Simplify right side
    22,271.25x = 390,668,395.84
  5. Step 5: Solve for x
    x = 390,668,395.84/22,271.25
  6. Step 6: Final answer
    x = 17,541.38

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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.