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Finding the Fourth Proportional to 21,911.76, 32,871.60 and 6,330.24

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Solution

The fourth proportional to 21,911.76, 32,871.60 and 6,330.24 is: 9,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.76 : 32,871.60 = 6,330.24 : x
  2. Step 2: Convert to fraction form
    21,911.76/32,871.60 = 6,330.24/x
  3. Step 3: Cross multiply
    21,911.76x = 32,871.60 × 6,330.24
  4. Step 4: Simplify right side
    21,911.76x = 208,085,117.18
  5. Step 5: Solve for x
    x = 208,085,117.18/21,911.76
  6. Step 6: Final answer
    x = 9,496.50

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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.