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Finding the Fourth Proportional to 10,318.32, 15,434.10 and 9,570.48

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Solution

The fourth proportional to 10,318.32, 15,434.10 and 9,570.48 is: 14,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.32 : 15,434.10 = 9,570.48 : x
  2. Step 2: Convert to fraction form
    10,318.32/15,434.10 = 9,570.48/x
  3. Step 3: Cross multiply
    10,318.32x = 15,434.10 × 9,570.48
  4. Step 4: Simplify right side
    10,318.32x = 147,711,745.37
  5. Step 5: Solve for x
    x = 147,711,745.37/10,318.32
  6. Step 6: Final answer
    x = 14,315.48

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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.