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Finding the Fourth Proportional to 21,800.76, 32,706.54 and 7,011.33

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Solution

The fourth proportional to 21,800.76, 32,706.54 and 7,011.33 is: 10,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.76 : 32,706.54 = 7,011.33 : x
  2. Step 2: Convert to fraction form
    21,800.76/32,706.54 = 7,011.33/x
  3. Step 3: Cross multiply
    21,800.76x = 32,706.54 × 7,011.33
  4. Step 4: Simplify right side
    21,800.76x = 229,316,345.10
  5. Step 5: Solve for x
    x = 229,316,345.10/21,800.76
  6. Step 6: Final answer
    x = 10,518.73

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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.