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Finding the Fourth Proportional to 23,292.42, 32,143.77 and 13,354.50

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Solution

The fourth proportional to 23,292.42, 32,143.77 and 13,354.50 is: 18,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292.42 : 32,143.77 = 13,354.50 : x
  2. Step 2: Convert to fraction form
    23,292.42/32,143.77 = 13,354.50/x
  3. Step 3: Cross multiply
    23,292.42x = 32,143.77 × 13,354.50
  4. Step 4: Simplify right side
    23,292.42x = 429,263,976.47
  5. Step 5: Solve for x
    x = 429,263,976.47/23,292.42
  6. Step 6: Final answer
    x = 18,429.34

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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.