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Finding the Fourth Proportional to 21,000.30, 31,435.65 and 12,209.10

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Solution

The fourth proportional to 21,000.30, 31,435.65 and 12,209.10 is: 18,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.30 : 31,435.65 = 12,209.10 : x
  2. Step 2: Convert to fraction form
    21,000.30/31,435.65 = 12,209.10/x
  3. Step 3: Cross multiply
    21,000.30x = 31,435.65 × 12,209.10
  4. Step 4: Simplify right side
    21,000.30x = 383,800,994.42
  5. Step 5: Solve for x
    x = 383,800,994.42/21,000.30
  6. Step 6: Final answer
    x = 18,275.98

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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.