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Finding the Fourth Proportional to 19,661.40, 29,492.10 and 9,819.90

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Solution

The fourth proportional to 19,661.40, 29,492.10 and 9,819.90 is: 14,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.40 : 29,492.10 = 9,819.90 : x
  2. Step 2: Convert to fraction form
    19,661.40/29,492.10 = 9,819.90/x
  3. Step 3: Cross multiply
    19,661.40x = 29,492.10 × 9,819.90
  4. Step 4: Simplify right side
    19,661.40x = 289,609,472.79
  5. Step 5: Solve for x
    x = 289,609,472.79/19,661.40
  6. Step 6: Final answer
    x = 14,729.85

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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.