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Finding the Fourth Proportional to 21,709.71, 32,567.13 and 6,913.44

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Solution

The fourth proportional to 21,709.71, 32,567.13 and 6,913.44 is: 10,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.71 : 32,567.13 = 6,913.44 : x
  2. Step 2: Convert to fraction form
    21,709.71/32,567.13 = 6,913.44/x
  3. Step 3: Cross multiply
    21,709.71x = 32,567.13 × 6,913.44
  4. Step 4: Simplify right side
    21,709.71x = 225,150,899.23
  5. Step 5: Solve for x
    x = 225,150,899.23/21,709.71
  6. Step 6: Final answer
    x = 10,370.98

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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.