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Finding the Fourth Proportional to 21,493.68, 32,236.74 and 5,698.86

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Solution

The fourth proportional to 21,493.68, 32,236.74 and 5,698.86 is: 8,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.68 : 32,236.74 = 5,698.86 : x
  2. Step 2: Convert to fraction form
    21,493.68/32,236.74 = 5,698.86/x
  3. Step 3: Cross multiply
    21,493.68x = 32,236.74 × 5,698.86
  4. Step 4: Simplify right side
    21,493.68x = 183,712,668.12
  5. Step 5: Solve for x
    x = 183,712,668.12/21,493.68
  6. Step 6: Final answer
    x = 8,547.29

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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.