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Finding the Fourth Proportional to 15,206.40, 22,795.20 and 8,971.20

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Solution

The fourth proportional to 15,206.40, 22,795.20 and 8,971.20 is: 13,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.40 : 22,795.20 = 8,971.20 : x
  2. Step 2: Convert to fraction form
    15,206.40/22,795.20 = 8,971.20/x
  3. Step 3: Cross multiply
    15,206.40x = 22,795.20 × 8,971.20
  4. Step 4: Simplify right side
    15,206.40x = 204,500,298.24
  5. Step 5: Solve for x
    x = 204,500,298.24/15,206.40
  6. Step 6: Final answer
    x = 13,448.30

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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.