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Finding the Fourth Proportional to 23,486.54, 32,411.69 and 13,416.31

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Solution

The fourth proportional to 23,486.54, 32,411.69 and 13,416.31 is: 18,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.54 : 32,411.69 = 13,416.31 : x
  2. Step 2: Convert to fraction form
    23,486.54/32,411.69 = 13,416.31/x
  3. Step 3: Cross multiply
    23,486.54x = 32,411.69 × 13,416.31
  4. Step 4: Simplify right side
    23,486.54x = 434,845,280.66
  5. Step 5: Solve for x
    x = 434,845,280.66/23,486.54
  6. Step 6: Final answer
    x = 18,514.66

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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.