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Finding the Fourth Proportional to 10,423.40, 15,635.10 and 9,969.80

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Solution

The fourth proportional to 10,423.40, 15,635.10 and 9,969.80 is: 14,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.40 : 15,635.10 = 9,969.80 : x
  2. Step 2: Convert to fraction form
    10,423.40/15,635.10 = 9,969.80/x
  3. Step 3: Cross multiply
    10,423.40x = 15,635.10 × 9,969.80
  4. Step 4: Simplify right side
    10,423.40x = 155,878,819.98
  5. Step 5: Solve for x
    x = 155,878,819.98/10,423.40
  6. Step 6: Final answer
    x = 14,954.70

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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.