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Finding the Fourth Proportional to 23,657.98, 32,647.11 and 13,047.62

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Solution

The fourth proportional to 23,657.98, 32,647.11 and 13,047.62 is: 18,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.98 : 32,647.11 = 13,047.62 : x
  2. Step 2: Convert to fraction form
    23,657.98/32,647.11 = 13,047.62/x
  3. Step 3: Cross multiply
    23,657.98x = 32,647.11 × 13,047.62
  4. Step 4: Simplify right side
    23,657.98x = 425,966,897.68
  5. Step 5: Solve for x
    x = 425,966,897.68/23,657.98
  6. Step 6: Final answer
    x = 18,005.21

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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.