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Finding the Fourth Proportional to 21,683.76, 32,526 and 6,101.76

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Solution

The fourth proportional to 21,683.76, 32,526 and 6,101.76 is: 9,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.76 : 32,526 = 6,101.76 : x
  2. Step 2: Convert to fraction form
    21,683.76/32,526 = 6,101.76/x
  3. Step 3: Cross multiply
    21,683.76x = 32,526 × 6,101.76
  4. Step 4: Simplify right side
    21,683.76x = 198,465,845.76
  5. Step 5: Solve for x
    x = 198,465,845.76/21,683.76
  6. Step 6: Final answer
    x = 9,152.74

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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.