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Finding the Fourth Proportional to 23,311.84, 32,166.74 and 13,100.86

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Solution

The fourth proportional to 23,311.84, 32,166.74 and 13,100.86 is: 18,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.84 : 32,166.74 = 13,100.86 : x
  2. Step 2: Convert to fraction form
    23,311.84/32,166.74 = 13,100.86/x
  3. Step 3: Cross multiply
    23,311.84x = 32,166.74 × 13,100.86
  4. Step 4: Simplify right side
    23,311.84x = 421,411,909.73
  5. Step 5: Solve for x
    x = 421,411,909.73/23,311.84
  6. Step 6: Final answer
    x = 18,077.16

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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.