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Finding the Fourth Proportional to 21,000.70, 31,525.35 and 12,123.10

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Solution

The fourth proportional to 21,000.70, 31,525.35 and 12,123.10 is: 18,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.70 : 31,525.35 = 12,123.10 : x
  2. Step 2: Convert to fraction form
    21,000.70/31,525.35 = 12,123.10/x
  3. Step 3: Cross multiply
    21,000.70x = 31,525.35 × 12,123.10
  4. Step 4: Simplify right side
    21,000.70x = 382,184,970.59
  5. Step 5: Solve for x
    x = 382,184,970.59/21,000.70
  6. Step 6: Final answer
    x = 18,198.68

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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.