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Finding the Fourth Proportional to 15,800.94, 23,714.37 and 8,011.98

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Solution

The fourth proportional to 15,800.94, 23,714.37 and 8,011.98 is: 12,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.94 : 23,714.37 = 8,011.98 : x
  2. Step 2: Convert to fraction form
    15,800.94/23,714.37 = 8,011.98/x
  3. Step 3: Cross multiply
    15,800.94x = 23,714.37 × 8,011.98
  4. Step 4: Simplify right side
    15,800.94x = 189,999,058.15
  5. Step 5: Solve for x
    x = 189,999,058.15/15,800.94
  6. Step 6: Final answer
    x = 12,024.54

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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.