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Finding the Fourth Proportional to 21,197.34, 31,762.89 and 8,042.58

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Solution

The fourth proportional to 21,197.34, 31,762.89 and 8,042.58 is: 12,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.34 : 31,762.89 = 8,042.58 : x
  2. Step 2: Convert to fraction form
    21,197.34/31,762.89 = 8,042.58/x
  3. Step 3: Cross multiply
    21,197.34x = 31,762.89 × 8,042.58
  4. Step 4: Simplify right side
    21,197.34x = 255,455,583.86
  5. Step 5: Solve for x
    x = 255,455,583.86/21,197.34
  6. Step 6: Final answer
    x = 12,051.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.