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Finding the Fourth Proportional to 21,415.50, 32,119.62 and 5,833.14

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Solution

The fourth proportional to 21,415.50, 32,119.62 and 5,833.14 is: 8,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.50 : 32,119.62 = 5,833.14 : x
  2. Step 2: Convert to fraction form
    21,415.50/32,119.62 = 5,833.14/x
  3. Step 3: Cross multiply
    21,415.50x = 32,119.62 × 5,833.14
  4. Step 4: Simplify right side
    21,415.50x = 187,358,240.21
  5. Step 5: Solve for x
    x = 187,358,240.21/21,415.50
  6. Step 6: Final answer
    x = 8,748.72

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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.