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Finding the Fourth Proportional to 23,774.02, 32,805.87 and 14,212.01

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Solution

The fourth proportional to 23,774.02, 32,805.87 and 14,212.01 is: 19,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.02 : 32,805.87 = 14,212.01 : x
  2. Step 2: Convert to fraction form
    23,774.02/32,805.87 = 14,212.01/x
  3. Step 3: Cross multiply
    23,774.02x = 32,805.87 × 14,212.01
  4. Step 4: Simplify right side
    23,774.02x = 466,237,352.50
  5. Step 5: Solve for x
    x = 466,237,352.50/23,774.02
  6. Step 6: Final answer
    x = 19,611.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.