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Finding the Fourth Proportional to 10,177.40, 15,269.70 and 9,817.40

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Solution

The fourth proportional to 10,177.40, 15,269.70 and 9,817.40 is: 14,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.40 : 15,269.70 = 9,817.40 : x
  2. Step 2: Convert to fraction form
    10,177.40/15,269.70 = 9,817.40/x
  3. Step 3: Cross multiply
    10,177.40x = 15,269.70 × 9,817.40
  4. Step 4: Simplify right side
    10,177.40x = 149,908,752.78
  5. Step 5: Solve for x
    x = 149,908,752.78/10,177.40
  6. Step 6: Final answer
    x = 14,729.57

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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.