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Finding the Fourth Proportional to 21,056.50, 31,574.17 and 7,011.57

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Solution

The fourth proportional to 21,056.50, 31,574.17 and 7,011.57 is: 10,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.50 : 31,574.17 = 7,011.57 : x
  2. Step 2: Convert to fraction form
    21,056.50/31,574.17 = 7,011.57/x
  3. Step 3: Cross multiply
    21,056.50x = 31,574.17 × 7,011.57
  4. Step 4: Simplify right side
    21,056.50x = 221,384,503.15
  5. Step 5: Solve for x
    x = 221,384,503.15/21,056.50
  6. Step 6: Final answer
    x = 10,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.