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Finding the Fourth Proportional to 10,215.80, 15,323.70 and 9,438.20

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Solution

The fourth proportional to 10,215.80, 15,323.70 and 9,438.20 is: 14,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.80 : 15,323.70 = 9,438.20 : x
  2. Step 2: Convert to fraction form
    10,215.80/15,323.70 = 9,438.20/x
  3. Step 3: Cross multiply
    10,215.80x = 15,323.70 × 9,438.20
  4. Step 4: Simplify right side
    10,215.80x = 144,628,145.34
  5. Step 5: Solve for x
    x = 144,628,145.34/10,215.80
  6. Step 6: Final answer
    x = 14,157.30

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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.