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Finding the Fourth Proportional to 23,615.96, 32,582.68 and 13,405.32

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Solution

The fourth proportional to 23,615.96, 32,582.68 and 13,405.32 is: 18,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.96 : 32,582.68 = 13,405.32 : x
  2. Step 2: Convert to fraction form
    23,615.96/32,582.68 = 13,405.32/x
  3. Step 3: Cross multiply
    23,615.96x = 32,582.68 × 13,405.32
  4. Step 4: Simplify right side
    23,615.96x = 436,781,251.86
  5. Step 5: Solve for x
    x = 436,781,251.86/23,615.96
  6. Step 6: Final answer
    x = 18,495.17

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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.