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Finding the Fourth Proportional to 23,648.86, 32,635.65 and 13,038.87

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Solution

The fourth proportional to 23,648.86, 32,635.65 and 13,038.87 is: 17,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.86 : 32,635.65 = 13,038.87 : x
  2. Step 2: Convert to fraction form
    23,648.86/32,635.65 = 13,038.87/x
  3. Step 3: Cross multiply
    23,648.86x = 32,635.65 × 13,038.87
  4. Step 4: Simplify right side
    23,648.86x = 425,531,997.72
  5. Step 5: Solve for x
    x = 425,531,997.72/23,648.86
  6. Step 6: Final answer
    x = 17,993.76

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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.