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Finding the Fourth Proportional to 23,774.54, 32,809.36 and 13,019.86

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Solution

The fourth proportional to 23,774.54, 32,809.36 and 13,019.86 is: 17,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.54 : 32,809.36 = 13,019.86 : x
  2. Step 2: Convert to fraction form
    23,774.54/32,809.36 = 13,019.86/x
  3. Step 3: Cross multiply
    23,774.54x = 32,809.36 × 13,019.86
  4. Step 4: Simplify right side
    23,774.54x = 427,173,273.89
  5. Step 5: Solve for x
    x = 427,173,273.89/23,774.54
  6. Step 6: Final answer
    x = 17,967.68

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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.