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Finding the Fourth Proportional to 23,652.96, 32,641.30 and 13,042.98

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Solution

The fourth proportional to 23,652.96, 32,641.30 and 13,042.98 is: 17,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.96 : 32,641.30 = 13,042.98 : x
  2. Step 2: Convert to fraction form
    23,652.96/32,641.30 = 13,042.98/x
  3. Step 3: Cross multiply
    23,652.96x = 32,641.30 × 13,042.98
  4. Step 4: Simplify right side
    23,652.96x = 425,739,823.07
  5. Step 5: Solve for x
    x = 425,739,823.07/23,652.96
  6. Step 6: Final answer
    x = 17,999.43

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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.