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Finding the Fourth Proportional to 32,232.96, 44,484.18 and 17,894.14

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Solution

The fourth proportional to 32,232.96, 44,484.18 and 17,894.14 is: 24,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.96 : 44,484.18 = 17,894.14 : x
  2. Step 2: Convert to fraction form
    32,232.96/44,484.18 = 17,894.14/x
  3. Step 3: Cross multiply
    32,232.96x = 44,484.18 × 17,894.14
  4. Step 4: Simplify right side
    32,232.96x = 796,006,144.71
  5. Step 5: Solve for x
    x = 796,006,144.71/32,232.96
  6. Step 6: Final answer
    x = 24,695.41

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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.