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Finding the Fourth Proportional to 10,318.81, 15,434.85 and 9,570.98

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Solution

The fourth proportional to 10,318.81, 15,434.85 and 9,570.98 is: 14,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.81 : 15,434.85 = 9,570.98 : x
  2. Step 2: Convert to fraction form
    10,318.81/15,434.85 = 9,570.98/x
  3. Step 3: Cross multiply
    10,318.81x = 15,434.85 × 9,570.98
  4. Step 4: Simplify right side
    10,318.81x = 147,726,640.65
  5. Step 5: Solve for x
    x = 147,726,640.65/10,318.81
  6. Step 6: Final answer
    x = 14,316.25

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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.