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Finding the Fourth Proportional to 23,657.72, 32,647.86 and 13,047.72

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Solution

The fourth proportional to 23,657.72, 32,647.86 and 13,047.72 is: 18,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.72 : 32,647.86 = 13,047.72 : x
  2. Step 2: Convert to fraction form
    23,657.72/32,647.86 = 13,047.72/x
  3. Step 3: Cross multiply
    23,657.72x = 32,647.86 × 13,047.72
  4. Step 4: Simplify right side
    23,657.72x = 425,980,135.88
  5. Step 5: Solve for x
    x = 425,980,135.88/23,657.72
  6. Step 6: Final answer
    x = 18,005.97

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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.