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Finding the Fourth Proportional to 21,690.96, 32,536 and 6,899.92

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Solution

The fourth proportional to 21,690.96, 32,536 and 6,899.92 is: 10,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.96 : 32,536 = 6,899.92 : x
  2. Step 2: Convert to fraction form
    21,690.96/32,536 = 6,899.92/x
  3. Step 3: Cross multiply
    21,690.96x = 32,536 × 6,899.92
  4. Step 4: Simplify right side
    21,690.96x = 224,495,797.12
  5. Step 5: Solve for x
    x = 224,495,797.12/21,690.96
  6. Step 6: Final answer
    x = 10,349.74

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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.