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Finding the Fourth Proportional to 10,246.93, 15,285.49 and 9,944.80

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Solution

The fourth proportional to 10,246.93, 15,285.49 and 9,944.80 is: 14,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.93 : 15,285.49 = 9,944.80 : x
  2. Step 2: Convert to fraction form
    10,246.93/15,285.49 = 9,944.80/x
  3. Step 3: Cross multiply
    10,246.93x = 15,285.49 × 9,944.80
  4. Step 4: Simplify right side
    10,246.93x = 152,011,077.88
  5. Step 5: Solve for x
    x = 152,011,077.88/10,246.93
  6. Step 6: Final answer
    x = 14,834.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.