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Finding the Fourth Proportional to 23,657.22, 32,647.18 and 13,047.22

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Solution

The fourth proportional to 23,657.22, 32,647.18 and 13,047.22 is: 18,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.22 : 32,647.18 = 13,047.22 : x
  2. Step 2: Convert to fraction form
    23,657.22/32,647.18 = 13,047.22/x
  3. Step 3: Cross multiply
    23,657.22x = 32,647.18 × 13,047.22
  4. Step 4: Simplify right side
    23,657.22x = 425,954,939.84
  5. Step 5: Solve for x
    x = 425,954,939.84/23,657.22
  6. Step 6: Final answer
    x = 18,005.28

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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.