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Finding the Fourth Proportional to 21,434.63, 32,154.17 and 5,852.25

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Solution

The fourth proportional to 21,434.63, 32,154.17 and 5,852.25 is: 8,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.63 : 32,154.17 = 5,852.25 : x
  2. Step 2: Convert to fraction form
    21,434.63/32,154.17 = 5,852.25/x
  3. Step 3: Cross multiply
    21,434.63x = 32,154.17 × 5,852.25
  4. Step 4: Simplify right side
    21,434.63x = 188,174,212.12
  5. Step 5: Solve for x
    x = 188,174,212.12/21,434.63
  6. Step 6: Final answer
    x = 8,778.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.